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Finding the Fourth Proportional to 457.83, 631.71 and 261.27

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Solution

The fourth proportional to 457.83, 631.71 and 261.27 is: 360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 631.71 = 261.27 : x
  2. Step 2: Convert to fraction form
    457.83/631.71 = 261.27/x
  3. Step 3: Cross multiply
    457.83x = 631.71 × 261.27
  4. Step 4: Simplify right side
    457.83x = 165,046.87
  5. Step 5: Solve for x
    x = 165,046.87/457.83
  6. Step 6: Final answer
    x = 360.50

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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.