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Finding the Fourth Proportional to 359.23, 537.87 and 285.76

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Solution

The fourth proportional to 359.23, 537.87 and 285.76 is: 427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.23 : 537.87 = 285.76 : x
  2. Step 2: Convert to fraction form
    359.23/537.87 = 285.76/x
  3. Step 3: Cross multiply
    359.23x = 537.87 × 285.76
  4. Step 4: Simplify right side
    359.23x = 153,701.73
  5. Step 5: Solve for x
    x = 153,701.73/359.23
  6. Step 6: Final answer
    x = 427.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.