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Finding the Fourth Proportional to 288.94, 398.19 and 211.18

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Solution

The fourth proportional to 288.94, 398.19 and 211.18 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 398.19 = 211.18 : x
  2. Step 2: Convert to fraction form
    288.94/398.19 = 211.18/x
  3. Step 3: Cross multiply
    288.94x = 398.19 × 211.18
  4. Step 4: Simplify right side
    288.94x = 84,089.76
  5. Step 5: Solve for x
    x = 84,089.76/288.94
  6. Step 6: Final answer
    x = 291.03

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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.