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Finding the Fourth Proportional to 359.97, 497.43 and 281.52

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Solution

The fourth proportional to 359.97, 497.43 and 281.52 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.97 : 497.43 = 281.52 : x
  2. Step 2: Convert to fraction form
    359.97/497.43 = 281.52/x
  3. Step 3: Cross multiply
    359.97x = 497.43 × 281.52
  4. Step 4: Simplify right side
    359.97x = 140,036.49
  5. Step 5: Solve for x
    x = 140,036.49/359.97
  6. Step 6: Final answer
    x = 389.02

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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.