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Finding the Fourth Proportional to 156.47, 215.44 and 137.79

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Solution

The fourth proportional to 156.47, 215.44 and 137.79 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 215.44 = 137.79 : x
  2. Step 2: Convert to fraction form
    156.47/215.44 = 137.79/x
  3. Step 3: Cross multiply
    156.47x = 215.44 × 137.79
  4. Step 4: Simplify right side
    156.47x = 29,684.33
  5. Step 5: Solve for x
    x = 29,684.33/156.47
  6. Step 6: Final answer
    x = 189.71

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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.