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Finding the Fourth Proportional to 164.65, 247.15 and 99.81

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Solution

The fourth proportional to 164.65, 247.15 and 99.81 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.65 : 247.15 = 99.81 : x
  2. Step 2: Convert to fraction form
    164.65/247.15 = 99.81/x
  3. Step 3: Cross multiply
    164.65x = 247.15 × 99.81
  4. Step 4: Simplify right side
    164.65x = 24,668.41
  5. Step 5: Solve for x
    x = 24,668.41/164.65
  6. Step 6: Final answer
    x = 149.82

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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.