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Finding the Fourth Proportional to 210.69, 292.77 and 208.11

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Solution

The fourth proportional to 210.69, 292.77 and 208.11 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.69 : 292.77 = 208.11 : x
  2. Step 2: Convert to fraction form
    210.69/292.77 = 208.11/x
  3. Step 3: Cross multiply
    210.69x = 292.77 × 208.11
  4. Step 4: Simplify right side
    210.69x = 60,927.82
  5. Step 5: Solve for x
    x = 60,927.82/210.69
  6. Step 6: Final answer
    x = 289.18

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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.