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Finding the Fourth Proportional to 148.41, 204.89 and 113.49

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Solution

The fourth proportional to 148.41, 204.89 and 113.49 is: 156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.41 : 204.89 = 113.49 : x
  2. Step 2: Convert to fraction form
    148.41/204.89 = 113.49/x
  3. Step 3: Cross multiply
    148.41x = 204.89 × 113.49
  4. Step 4: Simplify right side
    148.41x = 23,252.40
  5. Step 5: Solve for x
    x = 23,252.40/148.41
  6. Step 6: Final answer
    x = 156.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.