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Finding the Fourth Proportional to 409.07, 612.80 and 272.15

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Solution

The fourth proportional to 409.07, 612.80 and 272.15 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 612.80 = 272.15 : x
  2. Step 2: Convert to fraction form
    409.07/612.80 = 272.15/x
  3. Step 3: Cross multiply
    409.07x = 612.80 × 272.15
  4. Step 4: Simplify right side
    409.07x = 166,775.73
  5. Step 5: Solve for x
    x = 166,775.73/409.07
  6. Step 6: Final answer
    x = 407.70

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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.