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Finding the Fourth Proportional to 156.89, 216.33 and 134.84

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Solution

The fourth proportional to 156.89, 216.33 and 134.84 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 216.33 = 134.84 : x
  2. Step 2: Convert to fraction form
    156.89/216.33 = 134.84/x
  3. Step 3: Cross multiply
    156.89x = 216.33 × 134.84
  4. Step 4: Simplify right side
    156.89x = 29,168.86
  5. Step 5: Solve for x
    x = 29,168.86/156.89
  6. Step 6: Final answer
    x = 185.93

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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.