Home / 343.31-472.64-299.66

Finding the Fourth Proportional to 343.31, 472.64 and 299.66

Calculator

Solution

The fourth proportional to 343.31, 472.64 and 299.66 is: 412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 472.64 = 299.66 : x
  2. Step 2: Convert to fraction form
    343.31/472.64 = 299.66/x
  3. Step 3: Cross multiply
    343.31x = 472.64 × 299.66
  4. Step 4: Simplify right side
    343.31x = 141,627.44
  5. Step 5: Solve for x
    x = 141,627.44/343.31
  6. Step 6: Final answer
    x = 412.54

Related Problems

Find fourth proportional to 171.65, 236.32 and 149.83
Half scale
Find fourth proportional to 686.61, 945.27 and 599.31
Double scale
Find fourth proportional to 344.31, 474.01 and 300.66
Similar ratio
Find fourth proportional to 514.96, 708.95 and 449.48
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.