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Finding the Fourth Proportional to 213.70, 319.86 and 148.78

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Solution

The fourth proportional to 213.70, 319.86 and 148.78 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.70 : 319.86 = 148.78 : x
  2. Step 2: Convert to fraction form
    213.70/319.86 = 148.78/x
  3. Step 3: Cross multiply
    213.70x = 319.86 × 148.78
  4. Step 4: Simplify right side
    213.70x = 47,588.77
  5. Step 5: Solve for x
    x = 47,588.77/213.70
  6. Step 6: Final answer
    x = 222.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.