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Finding the Fourth Proportional to 295.69, 443.21 and 141.54

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Solution

The fourth proportional to 295.69, 443.21 and 141.54 is: 212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 443.21 = 141.54 : x
  2. Step 2: Convert to fraction form
    295.69/443.21 = 141.54/x
  3. Step 3: Cross multiply
    295.69x = 443.21 × 141.54
  4. Step 4: Simplify right side
    295.69x = 62,731.94
  5. Step 5: Solve for x
    x = 62,731.94/295.69
  6. Step 6: Final answer
    x = 212.15

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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.