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Finding the Fourth Proportional to 402.54, 555.80 and 396.15

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Solution

The fourth proportional to 402.54, 555.80 and 396.15 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 555.80 = 396.15 : x
  2. Step 2: Convert to fraction form
    402.54/555.80 = 396.15/x
  3. Step 3: Cross multiply
    402.54x = 555.80 × 396.15
  4. Step 4: Simplify right side
    402.54x = 220,180.17
  5. Step 5: Solve for x
    x = 220,180.17/402.54
  6. Step 6: Final answer
    x = 546.98

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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.