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Finding the Fourth Proportional to 230.24, 317.71 and 126.74

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Solution

The fourth proportional to 230.24, 317.71 and 126.74 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 317.71 = 126.74 : x
  2. Step 2: Convert to fraction form
    230.24/317.71 = 126.74/x
  3. Step 3: Cross multiply
    230.24x = 317.71 × 126.74
  4. Step 4: Simplify right side
    230.24x = 40,266.57
  5. Step 5: Solve for x
    x = 40,266.57/230.24
  6. Step 6: Final answer
    x = 174.89

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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.