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Finding the Fourth Proportional to 230.24, 344.91 and 158.15

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Solution

The fourth proportional to 230.24, 344.91 and 158.15 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 344.91 = 158.15 : x
  2. Step 2: Convert to fraction form
    230.24/344.91 = 158.15/x
  3. Step 3: Cross multiply
    230.24x = 344.91 × 158.15
  4. Step 4: Simplify right side
    230.24x = 54,547.52
  5. Step 5: Solve for x
    x = 54,547.52/230.24
  6. Step 6: Final answer
    x = 236.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.