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Finding the Fourth Proportional to 217.54, 299.82 and 158.50

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Solution

The fourth proportional to 217.54, 299.82 and 158.50 is: 218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.54 : 299.82 = 158.50 : x
  2. Step 2: Convert to fraction form
    217.54/299.82 = 158.50/x
  3. Step 3: Cross multiply
    217.54x = 299.82 × 158.50
  4. Step 4: Simplify right side
    217.54x = 47,521.47
  5. Step 5: Solve for x
    x = 47,521.47/217.54
  6. Step 6: Final answer
    x = 218.45

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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.