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Finding the Fourth Proportional to 278.62, 414.76 and 265.35

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Solution

The fourth proportional to 278.62, 414.76 and 265.35 is: 395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 414.76 = 265.35 : x
  2. Step 2: Convert to fraction form
    278.62/414.76 = 265.35/x
  3. Step 3: Cross multiply
    278.62x = 414.76 × 265.35
  4. Step 4: Simplify right side
    278.62x = 110,055.90
  5. Step 5: Solve for x
    x = 110,055.90/278.62
  6. Step 6: Final answer
    x = 395.01

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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.