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Finding the Fourth Proportional to 297.59, 445.71 and 143.63

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Solution

The fourth proportional to 297.59, 445.71 and 143.63 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.59 : 445.71 = 143.63 : x
  2. Step 2: Convert to fraction form
    297.59/445.71 = 143.63/x
  3. Step 3: Cross multiply
    297.59x = 445.71 × 143.63
  4. Step 4: Simplify right side
    297.59x = 64,014.56
  5. Step 5: Solve for x
    x = 64,014.56/297.59
  6. Step 6: Final answer
    x = 215.11

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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.