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Finding the Fourth Proportional to 294.70, 441.89 and 148.15

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Solution

The fourth proportional to 294.70, 441.89 and 148.15 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.70 : 441.89 = 148.15 : x
  2. Step 2: Convert to fraction form
    294.70/441.89 = 148.15/x
  3. Step 3: Cross multiply
    294.70x = 441.89 × 148.15
  4. Step 4: Simplify right side
    294.70x = 65,465.26
  5. Step 5: Solve for x
    x = 65,465.26/294.70
  6. Step 6: Final answer
    x = 222.14

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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.