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Finding the Fourth Proportional to 425.01, 637.47 and 193.83

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Solution

The fourth proportional to 425.01, 637.47 and 193.83 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.01 : 637.47 = 193.83 : x
  2. Step 2: Convert to fraction form
    425.01/637.47 = 193.83/x
  3. Step 3: Cross multiply
    425.01x = 637.47 × 193.83
  4. Step 4: Simplify right side
    425.01x = 123,560.81
  5. Step 5: Solve for x
    x = 123,560.81/425.01
  6. Step 6: Final answer
    x = 290.72

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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.