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Finding the Fourth Proportional to 374.96, 562.16 and 143.80

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Solution

The fourth proportional to 374.96, 562.16 and 143.80 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.96 : 562.16 = 143.80 : x
  2. Step 2: Convert to fraction form
    374.96/562.16 = 143.80/x
  3. Step 3: Cross multiply
    374.96x = 562.16 × 143.80
  4. Step 4: Simplify right side
    374.96x = 80,838.61
  5. Step 5: Solve for x
    x = 80,838.61/374.96
  6. Step 6: Final answer
    x = 215.59

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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.