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Finding the Fourth Proportional to 256.59, 383.24 and 232.17

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Solution

The fourth proportional to 256.59, 383.24 and 232.17 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 383.24 = 232.17 : x
  2. Step 2: Convert to fraction form
    256.59/383.24 = 232.17/x
  3. Step 3: Cross multiply
    256.59x = 383.24 × 232.17
  4. Step 4: Simplify right side
    256.59x = 88,975.67
  5. Step 5: Solve for x
    x = 88,975.67/256.59
  6. Step 6: Final answer
    x = 346.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.