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Finding the Fourth Proportional to 538.68, 743.16 and 359.31

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Solution

The fourth proportional to 538.68, 743.16 and 359.31 is: 495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 743.16 = 359.31 : x
  2. Step 2: Convert to fraction form
    538.68/743.16 = 359.31/x
  3. Step 3: Cross multiply
    538.68x = 743.16 × 359.31
  4. Step 4: Simplify right side
    538.68x = 267,024.82
  5. Step 5: Solve for x
    x = 267,024.82/538.68
  6. Step 6: Final answer
    x = 495.70

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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.