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Finding the Fourth Proportional to 131.86, 197.62 and 101.55

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Solution

The fourth proportional to 131.86, 197.62 and 101.55 is: 152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 197.62 = 101.55 : x
  2. Step 2: Convert to fraction form
    131.86/197.62 = 101.55/x
  3. Step 3: Cross multiply
    131.86x = 197.62 × 101.55
  4. Step 4: Simplify right side
    131.86x = 20,068.31
  5. Step 5: Solve for x
    x = 20,068.31/131.86
  6. Step 6: Final answer
    x = 152.19

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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.