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Finding the Fourth Proportional to 444.74, 666.96 and 156.12

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Solution

The fourth proportional to 444.74, 666.96 and 156.12 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 666.96 = 156.12 : x
  2. Step 2: Convert to fraction form
    444.74/666.96 = 156.12/x
  3. Step 3: Cross multiply
    444.74x = 666.96 × 156.12
  4. Step 4: Simplify right side
    444.74x = 104,125.80
  5. Step 5: Solve for x
    x = 104,125.80/444.74
  6. Step 6: Final answer
    x = 234.13

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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.