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Finding the Fourth Proportional to 210.28, 287.70 and 209.48

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Solution

The fourth proportional to 210.28, 287.70 and 209.48 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.28 : 287.70 = 209.48 : x
  2. Step 2: Convert to fraction form
    210.28/287.70 = 209.48/x
  3. Step 3: Cross multiply
    210.28x = 287.70 × 209.48
  4. Step 4: Simplify right side
    210.28x = 60,267.40
  5. Step 5: Solve for x
    x = 60,267.40/210.28
  6. Step 6: Final answer
    x = 286.61

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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.