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Finding the Fourth Proportional to 294.18, 441.23 and 99.15

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Solution

The fourth proportional to 294.18, 441.23 and 99.15 is: 148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.18 : 441.23 = 99.15 : x
  2. Step 2: Convert to fraction form
    294.18/441.23 = 99.15/x
  3. Step 3: Cross multiply
    294.18x = 441.23 × 99.15
  4. Step 4: Simplify right side
    294.18x = 43,747.46
  5. Step 5: Solve for x
    x = 43,747.46/294.18
  6. Step 6: Final answer
    x = 148.71

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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.