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Finding the Fourth Proportional to 650.27, 975.40 and 217.42

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Solution

The fourth proportional to 650.27, 975.40 and 217.42 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.27 : 975.40 = 217.42 : x
  2. Step 2: Convert to fraction form
    650.27/975.40 = 217.42/x
  3. Step 3: Cross multiply
    650.27x = 975.40 × 217.42
  4. Step 4: Simplify right side
    650.27x = 212,071.47
  5. Step 5: Solve for x
    x = 212,071.47/650.27
  6. Step 6: Final answer
    x = 326.13

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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.