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Finding the Fourth Proportional to 156.99, 216.56 and 115.44

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Solution

The fourth proportional to 156.99, 216.56 and 115.44 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.99 : 216.56 = 115.44 : x
  2. Step 2: Convert to fraction form
    156.99/216.56 = 115.44/x
  3. Step 3: Cross multiply
    156.99x = 216.56 × 115.44
  4. Step 4: Simplify right side
    156.99x = 24,999.11
  5. Step 5: Solve for x
    x = 24,999.11/156.99
  6. Step 6: Final answer
    x = 159.24

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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.