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Finding the Fourth Proportional to 180.14, 268.98 and 159.69

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Solution

The fourth proportional to 180.14, 268.98 and 159.69 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 268.98 = 159.69 : x
  2. Step 2: Convert to fraction form
    180.14/268.98 = 159.69/x
  3. Step 3: Cross multiply
    180.14x = 268.98 × 159.69
  4. Step 4: Simplify right side
    180.14x = 42,953.42
  5. Step 5: Solve for x
    x = 42,953.42/180.14
  6. Step 6: Final answer
    x = 238.45

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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.