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Finding the Fourth Proportional to 457.11, 630.84 and 270.57

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Solution

The fourth proportional to 457.11, 630.84 and 270.57 is: 373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 630.84 = 270.57 : x
  2. Step 2: Convert to fraction form
    457.11/630.84 = 270.57/x
  3. Step 3: Cross multiply
    457.11x = 630.84 × 270.57
  4. Step 4: Simplify right side
    457.11x = 170,688.24
  5. Step 5: Solve for x
    x = 170,688.24/457.11
  6. Step 6: Final answer
    x = 373.41

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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.