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Finding the Fourth Proportional to 156.95, 216.09 and 134.78

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Solution

The fourth proportional to 156.95, 216.09 and 134.78 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.95 : 216.09 = 134.78 : x
  2. Step 2: Convert to fraction form
    156.95/216.09 = 134.78/x
  3. Step 3: Cross multiply
    156.95x = 216.09 × 134.78
  4. Step 4: Simplify right side
    156.95x = 29,124.61
  5. Step 5: Solve for x
    x = 29,124.61/156.95
  6. Step 6: Final answer
    x = 185.56

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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.