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Finding the Fourth Proportional to 156.48, 216.68 and 144.96

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Solution

The fourth proportional to 156.48, 216.68 and 144.96 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 216.68 = 144.96 : x
  2. Step 2: Convert to fraction form
    156.48/216.68 = 144.96/x
  3. Step 3: Cross multiply
    156.48x = 216.68 × 144.96
  4. Step 4: Simplify right side
    156.48x = 31,409.93
  5. Step 5: Solve for x
    x = 31,409.93/156.48
  6. Step 6: Final answer
    x = 200.73

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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.