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Finding the Fourth Proportional to 215.61, 299.15 and 213.50

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Solution

The fourth proportional to 215.61, 299.15 and 213.50 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.61 : 299.15 = 213.50 : x
  2. Step 2: Convert to fraction form
    215.61/299.15 = 213.50/x
  3. Step 3: Cross multiply
    215.61x = 299.15 × 213.50
  4. Step 4: Simplify right side
    215.61x = 63,865.96
  5. Step 5: Solve for x
    x = 63,865.96/215.61
  6. Step 6: Final answer
    x = 296.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.