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Finding the Fourth Proportional to 265.14, 365.76 and 187.56

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Solution

The fourth proportional to 265.14, 365.76 and 187.56 is: 258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 365.76 = 187.56 : x
  2. Step 2: Convert to fraction form
    265.14/365.76 = 187.56/x
  3. Step 3: Cross multiply
    265.14x = 365.76 × 187.56
  4. Step 4: Simplify right side
    265.14x = 68,601.95
  5. Step 5: Solve for x
    x = 68,601.95/265.14
  6. Step 6: Final answer
    x = 258.74

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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.