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Finding the Fourth Proportional to 148.93, 205.35 and 104.71

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Solution

The fourth proportional to 148.93, 205.35 and 104.71 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 205.35 = 104.71 : x
  2. Step 2: Convert to fraction form
    148.93/205.35 = 104.71/x
  3. Step 3: Cross multiply
    148.93x = 205.35 × 104.71
  4. Step 4: Simplify right side
    148.93x = 21,502.20
  5. Step 5: Solve for x
    x = 21,502.20/148.93
  6. Step 6: Final answer
    x = 144.38

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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.