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Finding the Fourth Proportional to 157.83, 217.72 and 95.69

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Solution

The fourth proportional to 157.83, 217.72 and 95.69 is: 132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.83 : 217.72 = 95.69 : x
  2. Step 2: Convert to fraction form
    157.83/217.72 = 95.69/x
  3. Step 3: Cross multiply
    157.83x = 217.72 × 95.69
  4. Step 4: Simplify right side
    157.83x = 20,833.63
  5. Step 5: Solve for x
    x = 20,833.63/157.83
  6. Step 6: Final answer
    x = 132.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.