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Finding the Fourth Proportional to 457.90, 631.91 and 261.40

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Solution

The fourth proportional to 457.90, 631.91 and 261.40 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.90 : 631.91 = 261.40 : x
  2. Step 2: Convert to fraction form
    457.90/631.91 = 261.40/x
  3. Step 3: Cross multiply
    457.90x = 631.91 × 261.40
  4. Step 4: Simplify right side
    457.90x = 165,176.81
  5. Step 5: Solve for x
    x = 165,176.81/457.90
  6. Step 6: Final answer
    x = 360.73

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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.