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Finding the Fourth Proportional to 232.47, 322.91 and 228.75

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Solution

The fourth proportional to 232.47, 322.91 and 228.75 is: 317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 322.91 = 228.75 : x
  2. Step 2: Convert to fraction form
    232.47/322.91 = 228.75/x
  3. Step 3: Cross multiply
    232.47x = 322.91 × 228.75
  4. Step 4: Simplify right side
    232.47x = 73,865.72
  5. Step 5: Solve for x
    x = 73,865.72/232.47
  6. Step 6: Final answer
    x = 317.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.