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Finding the Fourth Proportional to 1,205.38, 1,808.08 and 339.70

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Solution

The fourth proportional to 1,205.38, 1,808.08 and 339.70 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.38 : 1,808.08 = 339.70 : x
  2. Step 2: Convert to fraction form
    1,205.38/1,808.08 = 339.70/x
  3. Step 3: Cross multiply
    1,205.38x = 1,808.08 × 339.70
  4. Step 4: Simplify right side
    1,205.38x = 614,204.78
  5. Step 5: Solve for x
    x = 614,204.78/1,205.38
  6. Step 6: Final answer
    x = 509.55

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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.