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Finding the Fourth Proportional to 444.71, 666.68 and 288.61

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Solution

The fourth proportional to 444.71, 666.68 and 288.61 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.71 : 666.68 = 288.61 : x
  2. Step 2: Convert to fraction form
    444.71/666.68 = 288.61/x
  3. Step 3: Cross multiply
    444.71x = 666.68 × 288.61
  4. Step 4: Simplify right side
    444.71x = 192,407.41
  5. Step 5: Solve for x
    x = 192,407.41/444.71
  6. Step 6: Final answer
    x = 432.66

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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.