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Finding the Fourth Proportional to 279.60, 416.28 and 279.60

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Solution

The fourth proportional to 279.60, 416.28 and 279.60 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 416.28 = 279.60 : x
  2. Step 2: Convert to fraction form
    279.60/416.28 = 279.60/x
  3. Step 3: Cross multiply
    279.60x = 416.28 × 279.60
  4. Step 4: Simplify right side
    279.60x = 116,391.89
  5. Step 5: Solve for x
    x = 116,391.89/279.60
  6. Step 6: Final answer
    x = 416.28

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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.