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Finding the Fourth Proportional to 209.61, 287.66 and 206.01

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Solution

The fourth proportional to 209.61, 287.66 and 206.01 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 287.66 = 206.01 : x
  2. Step 2: Convert to fraction form
    209.61/287.66 = 206.01/x
  3. Step 3: Cross multiply
    209.61x = 287.66 × 206.01
  4. Step 4: Simplify right side
    209.61x = 59,261.35
  5. Step 5: Solve for x
    x = 59,261.35/209.61
  6. Step 6: Final answer
    x = 282.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.