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Finding the Fourth Proportional to 744.18, 1,115.38 and 256.96

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Solution

The fourth proportional to 744.18, 1,115.38 and 256.96 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.18 : 1,115.38 = 256.96 : x
  2. Step 2: Convert to fraction form
    744.18/1,115.38 = 256.96/x
  3. Step 3: Cross multiply
    744.18x = 1,115.38 × 256.96
  4. Step 4: Simplify right side
    744.18x = 286,608.04
  5. Step 5: Solve for x
    x = 286,608.04/744.18
  6. Step 6: Final answer
    x = 385.13

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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.