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Finding the Fourth Proportional to 610.69, 916.16 and 225.97

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Solution

The fourth proportional to 610.69, 916.16 and 225.97 is: 339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.69 : 916.16 = 225.97 : x
  2. Step 2: Convert to fraction form
    610.69/916.16 = 225.97/x
  3. Step 3: Cross multiply
    610.69x = 916.16 × 225.97
  4. Step 4: Simplify right side
    610.69x = 207,023.55
  5. Step 5: Solve for x
    x = 207,023.55/610.69
  6. Step 6: Final answer
    x = 339.00

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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.