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Finding the Fourth Proportional to 466.04, 699.18 and 209.72

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Solution

The fourth proportional to 466.04, 699.18 and 209.72 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 699.18 = 209.72 : x
  2. Step 2: Convert to fraction form
    466.04/699.18 = 209.72/x
  3. Step 3: Cross multiply
    466.04x = 699.18 × 209.72
  4. Step 4: Simplify right side
    466.04x = 146,632.03
  5. Step 5: Solve for x
    x = 146,632.03/466.04
  6. Step 6: Final answer
    x = 314.63

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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.