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Finding the Fourth Proportional to 457.99, 632.00 and 261.50

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Solution

The fourth proportional to 457.99, 632.00 and 261.50 is: 360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.99 : 632.00 = 261.50 : x
  2. Step 2: Convert to fraction form
    457.99/632.00 = 261.50/x
  3. Step 3: Cross multiply
    457.99x = 632.00 × 261.50
  4. Step 4: Simplify right side
    457.99x = 165,265.49
  5. Step 5: Solve for x
    x = 165,265.49/457.99
  6. Step 6: Final answer
    x = 360.85

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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.