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Finding the Fourth Proportional to 457.98, 632.13 and 283.22

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Solution

The fourth proportional to 457.98, 632.13 and 283.22 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 632.13 = 283.22 : x
  2. Step 2: Convert to fraction form
    457.98/632.13 = 283.22/x
  3. Step 3: Cross multiply
    457.98x = 632.13 × 283.22
  4. Step 4: Simplify right side
    457.98x = 179,031.86
  5. Step 5: Solve for x
    x = 179,031.86/457.98
  6. Step 6: Final answer
    x = 390.92

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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.