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Finding the Fourth Proportional to 148.31, 204.90 and 146.87

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Solution

The fourth proportional to 148.31, 204.90 and 146.87 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.31 : 204.90 = 146.87 : x
  2. Step 2: Convert to fraction form
    148.31/204.90 = 146.87/x
  3. Step 3: Cross multiply
    148.31x = 204.90 × 146.87
  4. Step 4: Simplify right side
    148.31x = 30,093.66
  5. Step 5: Solve for x
    x = 30,093.66/148.31
  6. Step 6: Final answer
    x = 202.91

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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.