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Finding the Fourth Proportional to 156.57, 233.22 and 149.55

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Solution

The fourth proportional to 156.57, 233.22 and 149.55 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 233.22 = 149.55 : x
  2. Step 2: Convert to fraction form
    156.57/233.22 = 149.55/x
  3. Step 3: Cross multiply
    156.57x = 233.22 × 149.55
  4. Step 4: Simplify right side
    156.57x = 34,877.30
  5. Step 5: Solve for x
    x = 34,877.30/156.57
  6. Step 6: Final answer
    x = 222.76

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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.