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Finding the Fourth Proportional to 156.80, 216.23 and 121.77

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Solution

The fourth proportional to 156.80, 216.23 and 121.77 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 216.23 = 121.77 : x
  2. Step 2: Convert to fraction form
    156.80/216.23 = 121.77/x
  3. Step 3: Cross multiply
    156.80x = 216.23 × 121.77
  4. Step 4: Simplify right side
    156.80x = 26,329.72
  5. Step 5: Solve for x
    x = 26,329.72/156.80
  6. Step 6: Final answer
    x = 167.92

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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.