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Finding the Fourth Proportional to 278.47, 414.59 and 277.12

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Solution

The fourth proportional to 278.47, 414.59 and 277.12 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 414.59 = 277.12 : x
  2. Step 2: Convert to fraction form
    278.47/414.59 = 277.12/x
  3. Step 3: Cross multiply
    278.47x = 414.59 × 277.12
  4. Step 4: Simplify right side
    278.47x = 114,890.31
  5. Step 5: Solve for x
    x = 114,890.31/278.47
  6. Step 6: Final answer
    x = 412.58

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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.