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Finding the Fourth Proportional to 156.94, 216.49 and 138.57

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Solution

The fourth proportional to 156.94, 216.49 and 138.57 is: 191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 216.49 = 138.57 : x
  2. Step 2: Convert to fraction form
    156.94/216.49 = 138.57/x
  3. Step 3: Cross multiply
    156.94x = 216.49 × 138.57
  4. Step 4: Simplify right side
    156.94x = 29,999.02
  5. Step 5: Solve for x
    x = 29,999.02/156.94
  6. Step 6: Final answer
    x = 191.15

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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.