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Finding the Fourth Proportional to 147.87, 221.36 and 101.50

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Solution

The fourth proportional to 147.87, 221.36 and 101.50 is: 151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 221.36 = 101.50 : x
  2. Step 2: Convert to fraction form
    147.87/221.36 = 101.50/x
  3. Step 3: Cross multiply
    147.87x = 221.36 × 101.50
  4. Step 4: Simplify right side
    147.87x = 22,466.93
  5. Step 5: Solve for x
    x = 22,466.93/147.87
  6. Step 6: Final answer
    x = 151.94

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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.