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Finding the Fourth Proportional to 294.10, 405.91 and 206.72

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Solution

The fourth proportional to 294.10, 405.91 and 206.72 is: 285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.10 : 405.91 = 206.72 : x
  2. Step 2: Convert to fraction form
    294.10/405.91 = 206.72/x
  3. Step 3: Cross multiply
    294.10x = 405.91 × 206.72
  4. Step 4: Simplify right side
    294.10x = 83,909.47
  5. Step 5: Solve for x
    x = 83,909.47/294.10
  6. Step 6: Final answer
    x = 285.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.