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Finding the Fourth Proportional to 374.74, 562.07 and 100.86

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Solution

The fourth proportional to 374.74, 562.07 and 100.86 is: 151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.74 : 562.07 = 100.86 : x
  2. Step 2: Convert to fraction form
    374.74/562.07 = 100.86/x
  3. Step 3: Cross multiply
    374.74x = 562.07 × 100.86
  4. Step 4: Simplify right side
    374.74x = 56,689.20
  5. Step 5: Solve for x
    x = 56,689.20/374.74
  6. Step 6: Final answer
    x = 151.28

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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.