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Finding the Fourth Proportional to 156.99, 216.63 and 112.80

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Solution

The fourth proportional to 156.99, 216.63 and 112.80 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.99 : 216.63 = 112.80 : x
  2. Step 2: Convert to fraction form
    156.99/216.63 = 112.80/x
  3. Step 3: Cross multiply
    156.99x = 216.63 × 112.80
  4. Step 4: Simplify right side
    156.99x = 24,435.86
  5. Step 5: Solve for x
    x = 24,435.86/156.99
  6. Step 6: Final answer
    x = 155.65

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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.