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Finding the Fourth Proportional to 279.47, 416.07 and 278.12

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Solution

The fourth proportional to 279.47, 416.07 and 278.12 is: 414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.47 : 416.07 = 278.12 : x
  2. Step 2: Convert to fraction form
    279.47/416.07 = 278.12/x
  3. Step 3: Cross multiply
    279.47x = 416.07 × 278.12
  4. Step 4: Simplify right side
    279.47x = 115,717.39
  5. Step 5: Solve for x
    x = 115,717.39/279.47
  6. Step 6: Final answer
    x = 414.06

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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.