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Finding the Fourth Proportional to 488.71, 734.51 and 232.39

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Solution

The fourth proportional to 488.71, 734.51 and 232.39 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.71 : 734.51 = 232.39 : x
  2. Step 2: Convert to fraction form
    488.71/734.51 = 232.39/x
  3. Step 3: Cross multiply
    488.71x = 734.51 × 232.39
  4. Step 4: Simplify right side
    488.71x = 170,692.78
  5. Step 5: Solve for x
    x = 170,692.78/488.71
  6. Step 6: Final answer
    x = 349.27

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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.