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Finding the Fourth Proportional to 278.34, 414.50 and 266.51

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Solution

The fourth proportional to 278.34, 414.50 and 266.51 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 414.50 = 266.51 : x
  2. Step 2: Convert to fraction form
    278.34/414.50 = 266.51/x
  3. Step 3: Cross multiply
    278.34x = 414.50 × 266.51
  4. Step 4: Simplify right side
    278.34x = 110,464.99
  5. Step 5: Solve for x
    x = 110,464.99/278.34
  6. Step 6: Final answer
    x = 396.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.