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Finding the Fourth Proportional to 211.17, 293.43 and 208.92

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Solution

The fourth proportional to 211.17, 293.43 and 208.92 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 293.43 = 208.92 : x
  2. Step 2: Convert to fraction form
    211.17/293.43 = 208.92/x
  3. Step 3: Cross multiply
    211.17x = 293.43 × 208.92
  4. Step 4: Simplify right side
    211.17x = 61,303.40
  5. Step 5: Solve for x
    x = 61,303.40/211.17
  6. Step 6: Final answer
    x = 290.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.