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Finding the Fourth Proportional to 279.64, 416.34 and 275.59

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Solution

The fourth proportional to 279.64, 416.34 and 275.59 is: 410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.64 : 416.34 = 275.59 : x
  2. Step 2: Convert to fraction form
    279.64/416.34 = 275.59/x
  3. Step 3: Cross multiply
    279.64x = 416.34 × 275.59
  4. Step 4: Simplify right side
    279.64x = 114,739.14
  5. Step 5: Solve for x
    x = 114,739.14/279.64
  6. Step 6: Final answer
    x = 410.31

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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.