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Finding the Fourth Proportional to 397.96, 549.16 and 280.10

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Solution

The fourth proportional to 397.96, 549.16 and 280.10 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 549.16 = 280.10 : x
  2. Step 2: Convert to fraction form
    397.96/549.16 = 280.10/x
  3. Step 3: Cross multiply
    397.96x = 549.16 × 280.10
  4. Step 4: Simplify right side
    397.96x = 153,819.72
  5. Step 5: Solve for x
    x = 153,819.72/397.96
  6. Step 6: Final answer
    x = 386.52

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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.