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Finding the Fourth Proportional to 538.78, 743.52 and 305.90

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Solution

The fourth proportional to 538.78, 743.52 and 305.90 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 743.52 = 305.90 : x
  2. Step 2: Convert to fraction form
    538.78/743.52 = 305.90/x
  3. Step 3: Cross multiply
    538.78x = 743.52 × 305.90
  4. Step 4: Simplify right side
    538.78x = 227,442.77
  5. Step 5: Solve for x
    x = 227,442.77/538.78
  6. Step 6: Final answer
    x = 422.14

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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.