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Finding the Fourth Proportional to 119.65, 178.48 and 100.52

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Solution

The fourth proportional to 119.65, 178.48 and 100.52 is: 149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.65 : 178.48 = 100.52 : x
  2. Step 2: Convert to fraction form
    119.65/178.48 = 100.52/x
  3. Step 3: Cross multiply
    119.65x = 178.48 × 100.52
  4. Step 4: Simplify right side
    119.65x = 17,940.81
  5. Step 5: Solve for x
    x = 17,940.81/119.65
  6. Step 6: Final answer
    x = 149.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.