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Finding the Fourth Proportional to 445.18, 614.10 and 287.68

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Solution

The fourth proportional to 445.18, 614.10 and 287.68 is: 396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.18 : 614.10 = 287.68 : x
  2. Step 2: Convert to fraction form
    445.18/614.10 = 287.68/x
  3. Step 3: Cross multiply
    445.18x = 614.10 × 287.68
  4. Step 4: Simplify right side
    445.18x = 176,664.29
  5. Step 5: Solve for x
    x = 176,664.29/445.18
  6. Step 6: Final answer
    x = 396.84

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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.