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Finding the Fourth Proportional to 425.54, 637.71 and 193.86

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Solution

The fourth proportional to 425.54, 637.71 and 193.86 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.54 : 637.71 = 193.86 : x
  2. Step 2: Convert to fraction form
    425.54/637.71 = 193.86/x
  3. Step 3: Cross multiply
    425.54x = 637.71 × 193.86
  4. Step 4: Simplify right side
    425.54x = 123,626.46
  5. Step 5: Solve for x
    x = 123,626.46/425.54
  6. Step 6: Final answer
    x = 290.52

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