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Finding the Fourth Proportional to 279.93, 417.62 and 239.09

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Solution

The fourth proportional to 279.93, 417.62 and 239.09 is: 356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 417.62 = 239.09 : x
  2. Step 2: Convert to fraction form
    279.93/417.62 = 239.09/x
  3. Step 3: Cross multiply
    279.93x = 417.62 × 239.09
  4. Step 4: Simplify right side
    279.93x = 99,848.77
  5. Step 5: Solve for x
    x = 99,848.77/279.93
  6. Step 6: Final answer
    x = 356.69

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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.