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Finding the Fourth Proportional to 279.66, 417.09 and 265.08

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Solution

The fourth proportional to 279.66, 417.09 and 265.08 is: 395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 417.09 = 265.08 : x
  2. Step 2: Convert to fraction form
    279.66/417.09 = 265.08/x
  3. Step 3: Cross multiply
    279.66x = 417.09 × 265.08
  4. Step 4: Simplify right side
    279.66x = 110,562.22
  5. Step 5: Solve for x
    x = 110,562.22/279.66
  6. Step 6: Final answer
    x = 395.35

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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.