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Finding the Fourth Proportional to 432.25, 595.89 and 338.90

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Solution

The fourth proportional to 432.25, 595.89 and 338.90 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 595.89 = 338.90 : x
  2. Step 2: Convert to fraction form
    432.25/595.89 = 338.90/x
  3. Step 3: Cross multiply
    432.25x = 595.89 × 338.90
  4. Step 4: Simplify right side
    432.25x = 201,944.14
  5. Step 5: Solve for x
    x = 201,944.14/432.25
  6. Step 6: Final answer
    x = 467.20

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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.