Home / 229-343.14-202

Finding the Fourth Proportional to 229, 343.14 and 202

Calculator

Solution

The fourth proportional to 229, 343.14 and 202 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 343.14 = 202 : x
  2. Step 2: Convert to fraction form
    229/343.14 = 202/x
  3. Step 3: Cross multiply
    229x = 343.14 × 202
  4. Step 4: Simplify right side
    229x = 69,314.28
  5. Step 5: Solve for x
    x = 69,314.28/229
  6. Step 6: Final answer
    x = 302.68

Related Problems

Find fourth proportional to 114.50, 171.57 and 101
Half scale
Find fourth proportional to 458, 686.28 and 404
Double scale
Find fourth proportional to 230, 344.64 and 203
Similar ratio
Find fourth proportional to 343.50, 514.71 and 303
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.