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Finding the Fourth Proportional to 156, 215.22 and 114.64

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Solution

The fourth proportional to 156, 215.22 and 114.64 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 215.22 = 114.64 : x
  2. Step 2: Convert to fraction form
    156/215.22 = 114.64/x
  3. Step 3: Cross multiply
    156x = 215.22 × 114.64
  4. Step 4: Simplify right side
    156x = 24,672.82
  5. Step 5: Solve for x
    x = 24,672.82/156
  6. Step 6: Final answer
    x = 158.16

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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.