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Finding the Fourth Proportional to 148.50, 221.63 and 147.06

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Solution

The fourth proportional to 148.50, 221.63 and 147.06 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 221.63 = 147.06 : x
  2. Step 2: Convert to fraction form
    148.50/221.63 = 147.06/x
  3. Step 3: Cross multiply
    148.50x = 221.63 × 147.06
  4. Step 4: Simplify right side
    148.50x = 32,592.17
  5. Step 5: Solve for x
    x = 32,592.17/148.50
  6. Step 6: Final answer
    x = 219.48

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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.