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Finding the Fourth Proportional to 610.30, 914.72 and 363.16

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Solution

The fourth proportional to 610.30, 914.72 and 363.16 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 914.72 = 363.16 : x
  2. Step 2: Convert to fraction form
    610.30/914.72 = 363.16/x
  3. Step 3: Cross multiply
    610.30x = 914.72 × 363.16
  4. Step 4: Simplify right side
    610.30x = 332,189.72
  5. Step 5: Solve for x
    x = 332,189.72/610.30
  6. Step 6: Final answer
    x = 544.31

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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.