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Finding the Fourth Proportional to 156.14, 216.88 and 153.66

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Solution

The fourth proportional to 156.14, 216.88 and 153.66 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 216.88 = 153.66 : x
  2. Step 2: Convert to fraction form
    156.14/216.88 = 153.66/x
  3. Step 3: Cross multiply
    156.14x = 216.88 × 153.66
  4. Step 4: Simplify right side
    156.14x = 33,325.78
  5. Step 5: Solve for x
    x = 33,325.78/156.14
  6. Step 6: Final answer
    x = 213.44

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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.