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Finding the Fourth Proportional to 278.24, 417.50 and 213.66

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Solution

The fourth proportional to 278.24, 417.50 and 213.66 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 417.50 = 213.66 : x
  2. Step 2: Convert to fraction form
    278.24/417.50 = 213.66/x
  3. Step 3: Cross multiply
    278.24x = 417.50 × 213.66
  4. Step 4: Simplify right side
    278.24x = 89,203.05
  5. Step 5: Solve for x
    x = 89,203.05/278.24
  6. Step 6: Final answer
    x = 320.60

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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.