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Finding the Fourth Proportional to 445.72, 614.95 and 268.74

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Solution

The fourth proportional to 445.72, 614.95 and 268.74 is: 370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.72 : 614.95 = 268.74 : x
  2. Step 2: Convert to fraction form
    445.72/614.95 = 268.74/x
  3. Step 3: Cross multiply
    445.72x = 614.95 × 268.74
  4. Step 4: Simplify right side
    445.72x = 165,261.66
  5. Step 5: Solve for x
    x = 165,261.66/445.72
  6. Step 6: Final answer
    x = 370.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.