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Finding the Fourth Proportional to 265.14, 365.58 and 245.70

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Solution

The fourth proportional to 265.14, 365.58 and 245.70 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 365.58 = 245.70 : x
  2. Step 2: Convert to fraction form
    265.14/365.58 = 245.70/x
  3. Step 3: Cross multiply
    265.14x = 365.58 × 245.70
  4. Step 4: Simplify right side
    265.14x = 89,823.01
  5. Step 5: Solve for x
    x = 89,823.01/265.14
  6. Step 6: Final answer
    x = 338.78

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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.