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Finding the Fourth Proportional to 425.02, 637.46 and 193.84

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Solution

The fourth proportional to 425.02, 637.46 and 193.84 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 637.46 = 193.84 : x
  2. Step 2: Convert to fraction form
    425.02/637.46 = 193.84/x
  3. Step 3: Cross multiply
    425.02x = 637.46 × 193.84
  4. Step 4: Simplify right side
    425.02x = 123,565.25
  5. Step 5: Solve for x
    x = 123,565.25/425.02
  6. Step 6: Final answer
    x = 290.73

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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.