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Finding the Fourth Proportional to 156.24, 233.19 and 137.97

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Solution

The fourth proportional to 156.24, 233.19 and 137.97 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.24 : 233.19 = 137.97 : x
  2. Step 2: Convert to fraction form
    156.24/233.19 = 137.97/x
  3. Step 3: Cross multiply
    156.24x = 233.19 × 137.97
  4. Step 4: Simplify right side
    156.24x = 32,173.22
  5. Step 5: Solve for x
    x = 32,173.22/156.24
  6. Step 6: Final answer
    x = 205.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.