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Finding the Fourth Proportional to 131.76, 197.72 and 74.02

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Solution

The fourth proportional to 131.76, 197.72 and 74.02 is: 111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 197.72 = 74.02 : x
  2. Step 2: Convert to fraction form
    131.76/197.72 = 74.02/x
  3. Step 3: Cross multiply
    131.76x = 197.72 × 74.02
  4. Step 4: Simplify right side
    131.76x = 14,635.23
  5. Step 5: Solve for x
    x = 14,635.23/131.76
  6. Step 6: Final answer
    x = 111.07

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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.