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Finding the Fourth Proportional to 538.22, 742.80 and 317.24

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Solution

The fourth proportional to 538.22, 742.80 and 317.24 is: 437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 742.80 = 317.24 : x
  2. Step 2: Convert to fraction form
    538.22/742.80 = 317.24/x
  3. Step 3: Cross multiply
    538.22x = 742.80 × 317.24
  4. Step 4: Simplify right side
    538.22x = 235,645.87
  5. Step 5: Solve for x
    x = 235,645.87/538.22
  6. Step 6: Final answer
    x = 437.82

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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.