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Finding the Fourth Proportional to 403.68, 602.16 and 358.56

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Solution

The fourth proportional to 403.68, 602.16 and 358.56 is: 534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 602.16 = 358.56 : x
  2. Step 2: Convert to fraction form
    403.68/602.16 = 358.56/x
  3. Step 3: Cross multiply
    403.68x = 602.16 × 358.56
  4. Step 4: Simplify right side
    403.68x = 215,910.49
  5. Step 5: Solve for x
    x = 215,910.49/403.68
  6. Step 6: Final answer
    x = 534.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.