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Finding the Fourth Proportional to 210.25, 291.37 and 207.31

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Solution

The fourth proportional to 210.25, 291.37 and 207.31 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 291.37 = 207.31 : x
  2. Step 2: Convert to fraction form
    210.25/291.37 = 207.31/x
  3. Step 3: Cross multiply
    210.25x = 291.37 × 207.31
  4. Step 4: Simplify right side
    210.25x = 60,402.67
  5. Step 5: Solve for x
    x = 60,402.67/210.25
  6. Step 6: Final answer
    x = 287.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.