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Finding the Fourth Proportional to 156.54, 216.03 and 85.65

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Solution

The fourth proportional to 156.54, 216.03 and 85.65 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.54 : 216.03 = 85.65 : x
  2. Step 2: Convert to fraction form
    156.54/216.03 = 85.65/x
  3. Step 3: Cross multiply
    156.54x = 216.03 × 85.65
  4. Step 4: Simplify right side
    156.54x = 18,502.54
  5. Step 5: Solve for x
    x = 18,502.54/156.54
  6. Step 6: Final answer
    x = 118.20

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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.