Home / 346.16-477.54-206.24

Finding the Fourth Proportional to 346.16, 477.54 and 206.24

Calculator

Solution

The fourth proportional to 346.16, 477.54 and 206.24 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 477.54 = 206.24 : x
  2. Step 2: Convert to fraction form
    346.16/477.54 = 206.24/x
  3. Step 3: Cross multiply
    346.16x = 477.54 × 206.24
  4. Step 4: Simplify right side
    346.16x = 98,485.46
  5. Step 5: Solve for x
    x = 98,485.46/346.16
  6. Step 6: Final answer
    x = 284.51

Related Problems

Find fourth proportional to 173.08, 238.77 and 103.12
Half scale
Find fourth proportional to 692.31, 955.08 and 412.47
Double scale
Find fourth proportional to 347.16, 478.92 and 207.24
Similar ratio
Find fourth proportional to 519.23, 716.31 and 309.35
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.