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Finding the Fourth Proportional to 402.32, 553.88 and 336.72

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Solution

The fourth proportional to 402.32, 553.88 and 336.72 is: 463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 553.88 = 336.72 : x
  2. Step 2: Convert to fraction form
    402.32/553.88 = 336.72/x
  3. Step 3: Cross multiply
    402.32x = 553.88 × 336.72
  4. Step 4: Simplify right side
    402.32x = 186,502.47
  5. Step 5: Solve for x
    x = 186,502.47/402.32
  6. Step 6: Final answer
    x = 463.57

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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.