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Finding the Fourth Proportional to 457.17, 685.75 and 213.52

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Solution

The fourth proportional to 457.17, 685.75 and 213.52 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 685.75 = 213.52 : x
  2. Step 2: Convert to fraction form
    457.17/685.75 = 213.52/x
  3. Step 3: Cross multiply
    457.17x = 685.75 × 213.52
  4. Step 4: Simplify right side
    457.17x = 146,421.34
  5. Step 5: Solve for x
    x = 146,421.34/457.17
  6. Step 6: Final answer
    x = 320.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.