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Finding the Fourth Proportional to 650.65, 976.36 and 240.07

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Solution

The fourth proportional to 650.65, 976.36 and 240.07 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.65 : 976.36 = 240.07 : x
  2. Step 2: Convert to fraction form
    650.65/976.36 = 240.07/x
  3. Step 3: Cross multiply
    650.65x = 976.36 × 240.07
  4. Step 4: Simplify right side
    650.65x = 234,396.29
  5. Step 5: Solve for x
    x = 234,396.29/650.65
  6. Step 6: Final answer
    x = 360.25

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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.