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Finding the Fourth Proportional to 313.47, 432.20 and 257.24

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Solution

The fourth proportional to 313.47, 432.20 and 257.24 is: 354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 432.20 = 257.24 : x
  2. Step 2: Convert to fraction form
    313.47/432.20 = 257.24/x
  3. Step 3: Cross multiply
    313.47x = 432.20 × 257.24
  4. Step 4: Simplify right side
    313.47x = 111,180.85
  5. Step 5: Solve for x
    x = 111,180.85/313.47
  6. Step 6: Final answer
    x = 354.68

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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.