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Finding the Fourth Proportional to 432.02, 596.22 and 257.38

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Solution

The fourth proportional to 432.02, 596.22 and 257.38 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 596.22 = 257.38 : x
  2. Step 2: Convert to fraction form
    432.02/596.22 = 257.38/x
  3. Step 3: Cross multiply
    432.02x = 596.22 × 257.38
  4. Step 4: Simplify right side
    432.02x = 153,455.10
  5. Step 5: Solve for x
    x = 153,455.10/432.02
  6. Step 6: Final answer
    x = 355.20

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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.