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Finding the Fourth Proportional to 333.68, 460.52 and 209.48

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Solution

The fourth proportional to 333.68, 460.52 and 209.48 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 460.52 = 209.48 : x
  2. Step 2: Convert to fraction form
    333.68/460.52 = 209.48/x
  3. Step 3: Cross multiply
    333.68x = 460.52 × 209.48
  4. Step 4: Simplify right side
    333.68x = 96,466.38
  5. Step 5: Solve for x
    x = 96,466.38/333.68
  6. Step 6: Final answer
    x = 289.10

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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.