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Finding the Fourth Proportional to 457.35, 631.19 and 258.24

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Solution

The fourth proportional to 457.35, 631.19 and 258.24 is: 356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.35 : 631.19 = 258.24 : x
  2. Step 2: Convert to fraction form
    457.35/631.19 = 258.24/x
  3. Step 3: Cross multiply
    457.35x = 631.19 × 258.24
  4. Step 4: Simplify right side
    457.35x = 162,997.97
  5. Step 5: Solve for x
    x = 162,997.97/457.35
  6. Step 6: Final answer
    x = 356.40

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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.