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Finding the Fourth Proportional to 294.48, 440.60 and 188.96

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Solution

The fourth proportional to 294.48, 440.60 and 188.96 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 440.60 = 188.96 : x
  2. Step 2: Convert to fraction form
    294.48/440.60 = 188.96/x
  3. Step 3: Cross multiply
    294.48x = 440.60 × 188.96
  4. Step 4: Simplify right side
    294.48x = 83,255.78
  5. Step 5: Solve for x
    x = 83,255.78/294.48
  6. Step 6: Final answer
    x = 282.72

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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.