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Finding the Fourth Proportional to 230.61, 318.18 and 137.35

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Solution

The fourth proportional to 230.61, 318.18 and 137.35 is: 189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 318.18 = 137.35 : x
  2. Step 2: Convert to fraction form
    230.61/318.18 = 137.35/x
  3. Step 3: Cross multiply
    230.61x = 318.18 × 137.35
  4. Step 4: Simplify right side
    230.61x = 43,702.02
  5. Step 5: Solve for x
    x = 43,702.02/230.61
  6. Step 6: Final answer
    x = 189.51

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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.