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Finding the Fourth Proportional to 614.11, 920.94 and 248.80

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Solution

The fourth proportional to 614.11, 920.94 and 248.80 is: 373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.11 : 920.94 = 248.80 : x
  2. Step 2: Convert to fraction form
    614.11/920.94 = 248.80/x
  3. Step 3: Cross multiply
    614.11x = 920.94 × 248.80
  4. Step 4: Simplify right side
    614.11x = 229,129.87
  5. Step 5: Solve for x
    x = 229,129.87/614.11
  6. Step 6: Final answer
    x = 373.11

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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.