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Finding the Fourth Proportional to 444.20, 612.84 and 267.12

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Solution

The fourth proportional to 444.20, 612.84 and 267.12 is: 368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 612.84 = 267.12 : x
  2. Step 2: Convert to fraction form
    444.20/612.84 = 267.12/x
  3. Step 3: Cross multiply
    444.20x = 612.84 × 267.12
  4. Step 4: Simplify right side
    444.20x = 163,701.82
  5. Step 5: Solve for x
    x = 163,701.82/444.20
  6. Step 6: Final answer
    x = 368.53

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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.