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Finding the Fourth Proportional to 217.48, 297.89 and 210.28

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Solution

The fourth proportional to 217.48, 297.89 and 210.28 is: 288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 297.89 = 210.28 : x
  2. Step 2: Convert to fraction form
    217.48/297.89 = 210.28/x
  3. Step 3: Cross multiply
    217.48x = 297.89 × 210.28
  4. Step 4: Simplify right side
    217.48x = 62,640.31
  5. Step 5: Solve for x
    x = 62,640.31/217.48
  6. Step 6: Final answer
    x = 288.03

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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.