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Finding the Fourth Proportional to 156.38, 216.80 and 147.06

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Solution

The fourth proportional to 156.38, 216.80 and 147.06 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 216.80 = 147.06 : x
  2. Step 2: Convert to fraction form
    156.38/216.80 = 147.06/x
  3. Step 3: Cross multiply
    156.38x = 216.80 × 147.06
  4. Step 4: Simplify right side
    156.38x = 31,882.98
  5. Step 5: Solve for x
    x = 31,882.98/156.38
  6. Step 6: Final answer
    x = 203.89

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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.