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Finding the Fourth Proportional to 914.98, 1,372.44 and 265.78

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Solution

The fourth proportional to 914.98, 1,372.44 and 265.78 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.98 : 1,372.44 = 265.78 : x
  2. Step 2: Convert to fraction form
    914.98/1,372.44 = 265.78/x
  3. Step 3: Cross multiply
    914.98x = 1,372.44 × 265.78
  4. Step 4: Simplify right side
    914.98x = 364,767.10
  5. Step 5: Solve for x
    x = 364,767.10/914.98
  6. Step 6: Final answer
    x = 398.66

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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.