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Finding the Fourth Proportional to 148.57, 221.64 and 141.69

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Solution

The fourth proportional to 148.57, 221.64 and 141.69 is: 211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 221.64 = 141.69 : x
  2. Step 2: Convert to fraction form
    148.57/221.64 = 141.69/x
  3. Step 3: Cross multiply
    148.57x = 221.64 × 141.69
  4. Step 4: Simplify right side
    148.57x = 31,404.53
  5. Step 5: Solve for x
    x = 31,404.53/148.57
  6. Step 6: Final answer
    x = 211.38

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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.