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Finding the Fourth Proportional to 294.77, 406.60 and 211.75

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Solution

The fourth proportional to 294.77, 406.60 and 211.75 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.77 : 406.60 = 211.75 : x
  2. Step 2: Convert to fraction form
    294.77/406.60 = 211.75/x
  3. Step 3: Cross multiply
    294.77x = 406.60 × 211.75
  4. Step 4: Simplify right side
    294.77x = 86,097.20
  5. Step 5: Solve for x
    x = 86,097.20/294.77
  6. Step 6: Final answer
    x = 292.08

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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.