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Finding the Fourth Proportional to 119, 177.66 and 101.88

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Solution

The fourth proportional to 119, 177.66 and 101.88 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 177.66 = 101.88 : x
  2. Step 2: Convert to fraction form
    119/177.66 = 101.88/x
  3. Step 3: Cross multiply
    119x = 177.66 × 101.88
  4. Step 4: Simplify right side
    119x = 18,100.00
  5. Step 5: Solve for x
    x = 18,100.00/119
  6. Step 6: Final answer
    x = 152.10

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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.