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Finding the Fourth Proportional to 265.91, 366.79 and 187.08

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Solution

The fourth proportional to 265.91, 366.79 and 187.08 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 366.79 = 187.08 : x
  2. Step 2: Convert to fraction form
    265.91/366.79 = 187.08/x
  3. Step 3: Cross multiply
    265.91x = 366.79 × 187.08
  4. Step 4: Simplify right side
    265.91x = 68,620.94
  5. Step 5: Solve for x
    x = 68,620.94/265.91
  6. Step 6: Final answer
    x = 258.06

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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.