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Finding the Fourth Proportional to 213.62, 315.95 and 213.62

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Solution

The fourth proportional to 213.62, 315.95 and 213.62 is: 315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.62 : 315.95 = 213.62 : x
  2. Step 2: Convert to fraction form
    213.62/315.95 = 213.62/x
  3. Step 3: Cross multiply
    213.62x = 315.95 × 213.62
  4. Step 4: Simplify right side
    213.62x = 67,490.59
  5. Step 5: Solve for x
    x = 67,490.59/213.62
  6. Step 6: Final answer
    x = 315.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.