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Finding the Fourth Proportional to 457.85, 631.85 and 261.33

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Solution

The fourth proportional to 457.85, 631.85 and 261.33 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.85 : 631.85 = 261.33 : x
  2. Step 2: Convert to fraction form
    457.85/631.85 = 261.33/x
  3. Step 3: Cross multiply
    457.85x = 631.85 × 261.33
  4. Step 4: Simplify right side
    457.85x = 165,120.05
  5. Step 5: Solve for x
    x = 165,120.05/457.85
  6. Step 6: Final answer
    x = 360.65

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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.