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Finding the Fourth Proportional to 213.40, 319 and 158.68

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Solution

The fourth proportional to 213.40, 319 and 158.68 is: 237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 319 = 158.68 : x
  2. Step 2: Convert to fraction form
    213.40/319 = 158.68/x
  3. Step 3: Cross multiply
    213.40x = 319 × 158.68
  4. Step 4: Simplify right side
    213.40x = 50,618.92
  5. Step 5: Solve for x
    x = 50,618.92/213.40
  6. Step 6: Final answer
    x = 237.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.