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Finding the Fourth Proportional to 457.93, 632.00 and 268.95

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Solution

The fourth proportional to 457.93, 632.00 and 268.95 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.93 : 632.00 = 268.95 : x
  2. Step 2: Convert to fraction form
    457.93/632.00 = 268.95/x
  3. Step 3: Cross multiply
    457.93x = 632.00 × 268.95
  4. Step 4: Simplify right side
    457.93x = 169,971.90
  5. Step 5: Solve for x
    x = 169,971.90/457.93
  6. Step 6: Final answer
    x = 371.17

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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.