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Finding the Fourth Proportional to 423.86, 635.93 and 177.19

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Solution

The fourth proportional to 423.86, 635.93 and 177.19 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 635.93 = 177.19 : x
  2. Step 2: Convert to fraction form
    423.86/635.93 = 177.19/x
  3. Step 3: Cross multiply
    423.86x = 635.93 × 177.19
  4. Step 4: Simplify right side
    423.86x = 112,682.47
  5. Step 5: Solve for x
    x = 112,682.47/423.86
  6. Step 6: Final answer
    x = 265.85

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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.