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Finding the Fourth Proportional to 339.74, 508.84 and 207.60

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Solution

The fourth proportional to 339.74, 508.84 and 207.60 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 508.84 = 207.60 : x
  2. Step 2: Convert to fraction form
    339.74/508.84 = 207.60/x
  3. Step 3: Cross multiply
    339.74x = 508.84 × 207.60
  4. Step 4: Simplify right side
    339.74x = 105,634.67
  5. Step 5: Solve for x
    x = 105,634.67/339.74
  6. Step 6: Final answer
    x = 310.93

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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.