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Finding the Fourth Proportional to 148.13, 221.73 and 102.21

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Solution

The fourth proportional to 148.13, 221.73 and 102.21 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 221.73 = 102.21 : x
  2. Step 2: Convert to fraction form
    148.13/221.73 = 102.21/x
  3. Step 3: Cross multiply
    148.13x = 221.73 × 102.21
  4. Step 4: Simplify right side
    148.13x = 22,663.02
  5. Step 5: Solve for x
    x = 22,663.02/148.13
  6. Step 6: Final answer
    x = 152.99

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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.