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Finding the Fourth Proportional to 156.91, 214.62 and 154.39

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Solution

The fourth proportional to 156.91, 214.62 and 154.39 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.91 : 214.62 = 154.39 : x
  2. Step 2: Convert to fraction form
    156.91/214.62 = 154.39/x
  3. Step 3: Cross multiply
    156.91x = 214.62 × 154.39
  4. Step 4: Simplify right side
    156.91x = 33,135.18
  5. Step 5: Solve for x
    x = 33,135.18/156.91
  6. Step 6: Final answer
    x = 211.17

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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.