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Finding the Fourth Proportional to 262.85, 395.71 and 240.53

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Solution

The fourth proportional to 262.85, 395.71 and 240.53 is: 362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 395.71 = 240.53 : x
  2. Step 2: Convert to fraction form
    262.85/395.71 = 240.53/x
  3. Step 3: Cross multiply
    262.85x = 395.71 × 240.53
  4. Step 4: Simplify right side
    262.85x = 95,177.55
  5. Step 5: Solve for x
    x = 95,177.55/262.85
  6. Step 6: Final answer
    x = 362.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.