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Finding the Fourth Proportional to 156.16, 234.02 and 87.66

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Solution

The fourth proportional to 156.16, 234.02 and 87.66 is: 131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 234.02 = 87.66 : x
  2. Step 2: Convert to fraction form
    156.16/234.02 = 87.66/x
  3. Step 3: Cross multiply
    156.16x = 234.02 × 87.66
  4. Step 4: Simplify right side
    156.16x = 20,514.19
  5. Step 5: Solve for x
    x = 20,514.19/156.16
  6. Step 6: Final answer
    x = 131.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.