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Finding the Fourth Proportional to 188.79, 260.65 and 118.87

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Solution

The fourth proportional to 188.79, 260.65 and 118.87 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.79 : 260.65 = 118.87 : x
  2. Step 2: Convert to fraction form
    188.79/260.65 = 118.87/x
  3. Step 3: Cross multiply
    188.79x = 260.65 × 118.87
  4. Step 4: Simplify right side
    188.79x = 30,983.47
  5. Step 5: Solve for x
    x = 30,983.47/188.79
  6. Step 6: Final answer
    x = 164.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.