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Finding the Fourth Proportional to 865.28, 1,297.75 and 248.85

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Solution

The fourth proportional to 865.28, 1,297.75 and 248.85 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.28 : 1,297.75 = 248.85 : x
  2. Step 2: Convert to fraction form
    865.28/1,297.75 = 248.85/x
  3. Step 3: Cross multiply
    865.28x = 1,297.75 × 248.85
  4. Step 4: Simplify right side
    865.28x = 322,945.09
  5. Step 5: Solve for x
    x = 322,945.09/865.28
  6. Step 6: Final answer
    x = 373.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.