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Finding the Fourth Proportional to 425.52, 637.56 and 194.07

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Solution

The fourth proportional to 425.52, 637.56 and 194.07 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 637.56 = 194.07 : x
  2. Step 2: Convert to fraction form
    425.52/637.56 = 194.07/x
  3. Step 3: Cross multiply
    425.52x = 637.56 × 194.07
  4. Step 4: Simplify right side
    425.52x = 123,731.27
  5. Step 5: Solve for x
    x = 123,731.27/425.52
  6. Step 6: Final answer
    x = 290.78

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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.