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Finding the Fourth Proportional to 278.93, 421.56 and 274.14

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Solution

The fourth proportional to 278.93, 421.56 and 274.14 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 421.56 = 274.14 : x
  2. Step 2: Convert to fraction form
    278.93/421.56 = 274.14/x
  3. Step 3: Cross multiply
    278.93x = 421.56 × 274.14
  4. Step 4: Simplify right side
    278.93x = 115,566.46
  5. Step 5: Solve for x
    x = 115,566.46/278.93
  6. Step 6: Final answer
    x = 414.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.