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Finding the Fourth Proportional to 457.23, 630.82 and 270.78

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Solution

The fourth proportional to 457.23, 630.82 and 270.78 is: 373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 630.82 = 270.78 : x
  2. Step 2: Convert to fraction form
    457.23/630.82 = 270.78/x
  3. Step 3: Cross multiply
    457.23x = 630.82 × 270.78
  4. Step 4: Simplify right side
    457.23x = 170,813.44
  5. Step 5: Solve for x
    x = 170,813.44/457.23
  6. Step 6: Final answer
    x = 373.58

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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.