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Finding the Fourth Proportional to 156.62, 217.15 and 147.31

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Solution

The fourth proportional to 156.62, 217.15 and 147.31 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.62 : 217.15 = 147.31 : x
  2. Step 2: Convert to fraction form
    156.62/217.15 = 147.31/x
  3. Step 3: Cross multiply
    156.62x = 217.15 × 147.31
  4. Step 4: Simplify right side
    156.62x = 31,988.37
  5. Step 5: Solve for x
    x = 31,988.37/156.62
  6. Step 6: Final answer
    x = 204.24

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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.