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Finding the Fourth Proportional to 280.43, 418.79 and 239.52

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Solution

The fourth proportional to 280.43, 418.79 and 239.52 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 418.79 = 239.52 : x
  2. Step 2: Convert to fraction form
    280.43/418.79 = 239.52/x
  3. Step 3: Cross multiply
    280.43x = 418.79 × 239.52
  4. Step 4: Simplify right side
    280.43x = 100,307.38
  5. Step 5: Solve for x
    x = 100,307.38/280.43
  6. Step 6: Final answer
    x = 357.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.