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Finding the Fourth Proportional to 374.90, 562.61 and 131.44

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Solution

The fourth proportional to 374.90, 562.61 and 131.44 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.90 : 562.61 = 131.44 : x
  2. Step 2: Convert to fraction form
    374.90/562.61 = 131.44/x
  3. Step 3: Cross multiply
    374.90x = 562.61 × 131.44
  4. Step 4: Simplify right side
    374.90x = 73,947.39
  5. Step 5: Solve for x
    x = 73,947.39/374.90
  6. Step 6: Final answer
    x = 197.25

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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.