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Finding the Fourth Proportional to 156.58, 216.09 and 86.65

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Solution

The fourth proportional to 156.58, 216.09 and 86.65 is: 119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.58 : 216.09 = 86.65 : x
  2. Step 2: Convert to fraction form
    156.58/216.09 = 86.65/x
  3. Step 3: Cross multiply
    156.58x = 216.09 × 86.65
  4. Step 4: Simplify right side
    156.58x = 18,723.12
  5. Step 5: Solve for x
    x = 18,723.12/156.58
  6. Step 6: Final answer
    x = 119.58

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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.