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Finding the Fourth Proportional to 418, 577.08 and 280.24

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Solution

The fourth proportional to 418, 577.08 and 280.24 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 577.08 = 280.24 : x
  2. Step 2: Convert to fraction form
    418/577.08 = 280.24/x
  3. Step 3: Cross multiply
    418x = 577.08 × 280.24
  4. Step 4: Simplify right side
    418x = 161,720.90
  5. Step 5: Solve for x
    x = 161,720.90/418
  6. Step 6: Final answer
    x = 386.89

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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.