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Finding the Fourth Proportional to 131.86, 197.65 and 100.53

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Solution

The fourth proportional to 131.86, 197.65 and 100.53 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 197.65 = 100.53 : x
  2. Step 2: Convert to fraction form
    131.86/197.65 = 100.53/x
  3. Step 3: Cross multiply
    131.86x = 197.65 × 100.53
  4. Step 4: Simplify right side
    131.86x = 19,869.75
  5. Step 5: Solve for x
    x = 19,869.75/131.86
  6. Step 6: Final answer
    x = 150.69

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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.