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Finding the Fourth Proportional to 333.52, 460.55 and 209.40

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Solution

The fourth proportional to 333.52, 460.55 and 209.40 is: 289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.55 = 209.40 : x
  2. Step 2: Convert to fraction form
    333.52/460.55 = 209.40/x
  3. Step 3: Cross multiply
    333.52x = 460.55 × 209.40
  4. Step 4: Simplify right side
    333.52x = 96,439.17
  5. Step 5: Solve for x
    x = 96,439.17/333.52
  6. Step 6: Final answer
    x = 289.16

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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.