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Finding the Fourth Proportional to 297.31, 410.66 and 210.37

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Solution

The fourth proportional to 297.31, 410.66 and 210.37 is: 290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 410.66 = 210.37 : x
  2. Step 2: Convert to fraction form
    297.31/410.66 = 210.37/x
  3. Step 3: Cross multiply
    297.31x = 410.66 × 210.37
  4. Step 4: Simplify right side
    297.31x = 86,390.54
  5. Step 5: Solve for x
    x = 86,390.54/297.31
  6. Step 6: Final answer
    x = 290.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.