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Finding the Fourth Proportional to 610.94, 916.53 and 226.22

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Solution

The fourth proportional to 610.94, 916.53 and 226.22 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.94 : 916.53 = 226.22 : x
  2. Step 2: Convert to fraction form
    610.94/916.53 = 226.22/x
  3. Step 3: Cross multiply
    610.94x = 916.53 × 226.22
  4. Step 4: Simplify right side
    610.94x = 207,337.42
  5. Step 5: Solve for x
    x = 207,337.42/610.94
  6. Step 6: Final answer
    x = 339.37

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1.5x scale

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.