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Finding the Fourth Proportional to 156.49, 215.86 and 114.41

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Solution

The fourth proportional to 156.49, 215.86 and 114.41 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 215.86 = 114.41 : x
  2. Step 2: Convert to fraction form
    156.49/215.86 = 114.41/x
  3. Step 3: Cross multiply
    156.49x = 215.86 × 114.41
  4. Step 4: Simplify right side
    156.49x = 24,696.54
  5. Step 5: Solve for x
    x = 24,696.54/156.49
  6. Step 6: Final answer
    x = 157.82

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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.