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Finding the Fourth Proportional to 445.30, 614.81 and 288.31

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Solution

The fourth proportional to 445.30, 614.81 and 288.31 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.30 : 614.81 = 288.31 : x
  2. Step 2: Convert to fraction form
    445.30/614.81 = 288.31/x
  3. Step 3: Cross multiply
    445.30x = 614.81 × 288.31
  4. Step 4: Simplify right side
    445.30x = 177,255.87
  5. Step 5: Solve for x
    x = 177,255.87/445.30
  6. Step 6: Final answer
    x = 398.06

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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.