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Finding the Fourth Proportional to 466.31, 699.46 and 209.51

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Solution

The fourth proportional to 466.31, 699.46 and 209.51 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 699.46 = 209.51 : x
  2. Step 2: Convert to fraction form
    466.31/699.46 = 209.51/x
  3. Step 3: Cross multiply
    466.31x = 699.46 × 209.51
  4. Step 4: Simplify right side
    466.31x = 146,539.84
  5. Step 5: Solve for x
    x = 146,539.84/466.31
  6. Step 6: Final answer
    x = 314.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.