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Finding the Fourth Proportional to 219.31, 302.56 and 136.27

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Solution

The fourth proportional to 219.31, 302.56 and 136.27 is: 187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.31 : 302.56 = 136.27 : x
  2. Step 2: Convert to fraction form
    219.31/302.56 = 136.27/x
  3. Step 3: Cross multiply
    219.31x = 302.56 × 136.27
  4. Step 4: Simplify right side
    219.31x = 41,228.19
  5. Step 5: Solve for x
    x = 41,228.19/219.31
  6. Step 6: Final answer
    x = 187.99

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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.