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Finding the Fourth Proportional to 157.84, 217.71 and 131.65

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Solution

The fourth proportional to 157.84, 217.71 and 131.65 is: 181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.71 = 131.65 : x
  2. Step 2: Convert to fraction form
    157.84/217.71 = 131.65/x
  3. Step 3: Cross multiply
    157.84x = 217.71 × 131.65
  4. Step 4: Simplify right side
    157.84x = 28,661.52
  5. Step 5: Solve for x
    x = 28,661.52/157.84
  6. Step 6: Final answer
    x = 181.59

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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.