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Finding the Fourth Proportional to 432.37, 597 and 257.95

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Solution

The fourth proportional to 432.37, 597 and 257.95 is: 356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.37 : 597 = 257.95 : x
  2. Step 2: Convert to fraction form
    432.37/597 = 257.95/x
  3. Step 3: Cross multiply
    432.37x = 597 × 257.95
  4. Step 4: Simplify right side
    432.37x = 153,996.15
  5. Step 5: Solve for x
    x = 153,996.15/432.37
  6. Step 6: Final answer
    x = 356.17

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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.