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Finding the Fourth Proportional to 179.65, 269.45 and 64.06

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Solution

The fourth proportional to 179.65, 269.45 and 64.06 is: 96.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.65 : 269.45 = 64.06 : x
  2. Step 2: Convert to fraction form
    179.65/269.45 = 64.06/x
  3. Step 3: Cross multiply
    179.65x = 269.45 × 64.06
  4. Step 4: Simplify right side
    179.65x = 17,259.30
  5. Step 5: Solve for x
    x = 17,259.30/179.65
  6. Step 6: Final answer
    x = 96.07

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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.