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Finding the Fourth Proportional to 270.10, 402.82 and 244.18

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Solution

The fourth proportional to 270.10, 402.82 and 244.18 is: 364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.10 : 402.82 = 244.18 : x
  2. Step 2: Convert to fraction form
    270.10/402.82 = 244.18/x
  3. Step 3: Cross multiply
    270.10x = 402.82 × 244.18
  4. Step 4: Simplify right side
    270.10x = 98,360.59
  5. Step 5: Solve for x
    x = 98,360.59/270.10
  6. Step 6: Final answer
    x = 364.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.