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Finding the Fourth Proportional to 359.80, 497.12 and 282.76

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Solution

The fourth proportional to 359.80, 497.12 and 282.76 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 497.12 = 282.76 : x
  2. Step 2: Convert to fraction form
    359.80/497.12 = 282.76/x
  3. Step 3: Cross multiply
    359.80x = 497.12 × 282.76
  4. Step 4: Simplify right side
    359.80x = 140,565.65
  5. Step 5: Solve for x
    x = 140,565.65/359.80
  6. Step 6: Final answer
    x = 390.68

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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.