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Finding the Fourth Proportional to 217.31, 297.47 and 210.32

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Solution

The fourth proportional to 217.31, 297.47 and 210.32 is: 287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 297.47 = 210.32 : x
  2. Step 2: Convert to fraction form
    217.31/297.47 = 210.32/x
  3. Step 3: Cross multiply
    217.31x = 297.47 × 210.32
  4. Step 4: Simplify right side
    217.31x = 62,561.35
  5. Step 5: Solve for x
    x = 62,561.35/217.31
  6. Step 6: Final answer
    x = 287.90

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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.