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Finding the Fourth Proportional to 230.90, 318.79 and 148.13

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Solution

The fourth proportional to 230.90, 318.79 and 148.13 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 318.79 = 148.13 : x
  2. Step 2: Convert to fraction form
    230.90/318.79 = 148.13/x
  3. Step 3: Cross multiply
    230.90x = 318.79 × 148.13
  4. Step 4: Simplify right side
    230.90x = 47,221.32
  5. Step 5: Solve for x
    x = 47,221.32/230.90
  6. Step 6: Final answer
    x = 204.51

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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.