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Finding the Fourth Proportional to 549.76, 758.40 and 402.16

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Solution

The fourth proportional to 549.76, 758.40 and 402.16 is: 554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 758.40 = 402.16 : x
  2. Step 2: Convert to fraction form
    549.76/758.40 = 402.16/x
  3. Step 3: Cross multiply
    549.76x = 758.40 × 402.16
  4. Step 4: Simplify right side
    549.76x = 304,998.14
  5. Step 5: Solve for x
    x = 304,998.14/549.76
  6. Step 6: Final answer
    x = 554.78

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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.