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Finding the Fourth Proportional to 445.75, 614.93 and 288.43

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Solution

The fourth proportional to 445.75, 614.93 and 288.43 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 614.93 = 288.43 : x
  2. Step 2: Convert to fraction form
    445.75/614.93 = 288.43/x
  3. Step 3: Cross multiply
    445.75x = 614.93 × 288.43
  4. Step 4: Simplify right side
    445.75x = 177,366.18
  5. Step 5: Solve for x
    x = 177,366.18/445.75
  6. Step 6: Final answer
    x = 397.90

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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.