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Finding the Fourth Proportional to 101.71, 151.47 and 95.50

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Solution

The fourth proportional to 101.71, 151.47 and 95.50 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 151.47 = 95.50 : x
  2. Step 2: Convert to fraction form
    101.71/151.47 = 95.50/x
  3. Step 3: Cross multiply
    101.71x = 151.47 × 95.50
  4. Step 4: Simplify right side
    101.71x = 14,465.39
  5. Step 5: Solve for x
    x = 14,465.39/101.71
  6. Step 6: Final answer
    x = 142.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.