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Finding the Fourth Proportional to 425.13, 637.61 and 165.05

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Solution

The fourth proportional to 425.13, 637.61 and 165.05 is: 247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.13 : 637.61 = 165.05 : x
  2. Step 2: Convert to fraction form
    425.13/637.61 = 165.05/x
  3. Step 3: Cross multiply
    425.13x = 637.61 × 165.05
  4. Step 4: Simplify right side
    425.13x = 105,233.52
  5. Step 5: Solve for x
    x = 105,233.52/425.13
  6. Step 6: Final answer
    x = 247.53

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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.