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Finding the Fourth Proportional to 240.28, 362.45 and 230.20

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Solution

The fourth proportional to 240.28, 362.45 and 230.20 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.28 : 362.45 = 230.20 : x
  2. Step 2: Convert to fraction form
    240.28/362.45 = 230.20/x
  3. Step 3: Cross multiply
    240.28x = 362.45 × 230.20
  4. Step 4: Simplify right side
    240.28x = 83,435.99
  5. Step 5: Solve for x
    x = 83,435.99/240.28
  6. Step 6: Final answer
    x = 347.24

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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.