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Finding the Fourth Proportional to 232.57, 318.80 and 228.43

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Solution

The fourth proportional to 232.57, 318.80 and 228.43 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 318.80 = 228.43 : x
  2. Step 2: Convert to fraction form
    232.57/318.80 = 228.43/x
  3. Step 3: Cross multiply
    232.57x = 318.80 × 228.43
  4. Step 4: Simplify right side
    232.57x = 72,823.48
  5. Step 5: Solve for x
    x = 72,823.48/232.57
  6. Step 6: Final answer
    x = 313.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.