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Finding the Fourth Proportional to 389.08, 585.97 and 293.56

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Solution

The fourth proportional to 389.08, 585.97 and 293.56 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.08 : 585.97 = 293.56 : x
  2. Step 2: Convert to fraction form
    389.08/585.97 = 293.56/x
  3. Step 3: Cross multiply
    389.08x = 585.97 × 293.56
  4. Step 4: Simplify right side
    389.08x = 172,017.35
  5. Step 5: Solve for x
    x = 172,017.35/389.08
  6. Step 6: Final answer
    x = 442.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.