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Finding the Fourth Proportional to 156.39, 214.65 and 136.95

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Solution

The fourth proportional to 156.39, 214.65 and 136.95 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.39 : 214.65 = 136.95 : x
  2. Step 2: Convert to fraction form
    156.39/214.65 = 136.95/x
  3. Step 3: Cross multiply
    156.39x = 214.65 × 136.95
  4. Step 4: Simplify right side
    156.39x = 29,396.32
  5. Step 5: Solve for x
    x = 29,396.32/156.39
  6. Step 6: Final answer
    x = 187.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.