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Finding the Fourth Proportional to 610.26, 914.40 and 366.99

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Solution

The fourth proportional to 610.26, 914.40 and 366.99 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.26 : 914.40 = 366.99 : x
  2. Step 2: Convert to fraction form
    610.26/914.40 = 366.99/x
  3. Step 3: Cross multiply
    610.26x = 914.40 × 366.99
  4. Step 4: Simplify right side
    610.26x = 335,575.66
  5. Step 5: Solve for x
    x = 335,575.66/610.26
  6. Step 6: Final answer
    x = 549.89

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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.