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Finding the Fourth Proportional to 339.04, 508.46 and 209.02

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Solution

The fourth proportional to 339.04, 508.46 and 209.02 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.04 : 508.46 = 209.02 : x
  2. Step 2: Convert to fraction form
    339.04/508.46 = 209.02/x
  3. Step 3: Cross multiply
    339.04x = 508.46 × 209.02
  4. Step 4: Simplify right side
    339.04x = 106,274.72
  5. Step 5: Solve for x
    x = 106,274.72/339.04
  6. Step 6: Final answer
    x = 313.46

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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.