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Finding the Fourth Proportional to 278.00, 383.93 and 216.56

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Solution

The fourth proportional to 278.00, 383.93 and 216.56 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.00 : 383.93 = 216.56 : x
  2. Step 2: Convert to fraction form
    278.00/383.93 = 216.56/x
  3. Step 3: Cross multiply
    278.00x = 383.93 × 216.56
  4. Step 4: Simplify right side
    278.00x = 83,140.88
  5. Step 5: Solve for x
    x = 83,140.88/278.00
  6. Step 6: Final answer
    x = 299.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.