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Finding the Fourth Proportional to 179.36, 269.04 and 47.59

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Solution

The fourth proportional to 179.36, 269.04 and 47.59 is: 71.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.36 : 269.04 = 47.59 : x
  2. Step 2: Convert to fraction form
    179.36/269.04 = 47.59/x
  3. Step 3: Cross multiply
    179.36x = 269.04 × 47.59
  4. Step 4: Simplify right side
    179.36x = 12,803.61
  5. Step 5: Solve for x
    x = 12,803.61/179.36
  6. Step 6: Final answer
    x = 71.39

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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.