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Finding the Fourth Proportional to 156.29, 217.10 and 153.81

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Solution

The fourth proportional to 156.29, 217.10 and 153.81 is: 213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.29 : 217.10 = 153.81 : x
  2. Step 2: Convert to fraction form
    156.29/217.10 = 153.81/x
  3. Step 3: Cross multiply
    156.29x = 217.10 × 153.81
  4. Step 4: Simplify right side
    156.29x = 33,391.38
  5. Step 5: Solve for x
    x = 33,391.38/156.29
  6. Step 6: Final answer
    x = 213.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.