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Finding the Fourth Proportional to 147.34, 221.10 and 86.50

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Solution

The fourth proportional to 147.34, 221.10 and 86.50 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.34 : 221.10 = 86.50 : x
  2. Step 2: Convert to fraction form
    147.34/221.10 = 86.50/x
  3. Step 3: Cross multiply
    147.34x = 221.10 × 86.50
  4. Step 4: Simplify right side
    147.34x = 19,125.15
  5. Step 5: Solve for x
    x = 19,125.15/147.34
  6. Step 6: Final answer
    x = 129.80

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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.