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Finding the Fourth Proportional to 213.46, 319.95 and 97.83

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Solution

The fourth proportional to 213.46, 319.95 and 97.83 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 319.95 = 97.83 : x
  2. Step 2: Convert to fraction form
    213.46/319.95 = 97.83/x
  3. Step 3: Cross multiply
    213.46x = 319.95 × 97.83
  4. Step 4: Simplify right side
    213.46x = 31,300.71
  5. Step 5: Solve for x
    x = 31,300.71/213.46
  6. Step 6: Final answer
    x = 146.64

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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.