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Finding the Fourth Proportional to 610.20, 916.52 and 367.20

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Solution

The fourth proportional to 610.20, 916.52 and 367.20 is: 551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 916.52 = 367.20 : x
  2. Step 2: Convert to fraction form
    610.20/916.52 = 367.20/x
  3. Step 3: Cross multiply
    610.20x = 916.52 × 367.20
  4. Step 4: Simplify right side
    610.20x = 336,546.14
  5. Step 5: Solve for x
    x = 336,546.14/610.20
  6. Step 6: Final answer
    x = 551.53

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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.