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Finding the Fourth Proportional to 148.68, 224.34 and 148.68

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Solution

The fourth proportional to 148.68, 224.34 and 148.68 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 224.34 = 148.68 : x
  2. Step 2: Convert to fraction form
    148.68/224.34 = 148.68/x
  3. Step 3: Cross multiply
    148.68x = 224.34 × 148.68
  4. Step 4: Simplify right side
    148.68x = 33,353.57
  5. Step 5: Solve for x
    x = 33,353.57/148.68
  6. Step 6: Final answer
    x = 224.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.