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Finding the Fourth Proportional to 980.05, 1,470.08 and 239.66

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Solution

The fourth proportional to 980.05, 1,470.08 and 239.66 is: 359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.05 : 1,470.08 = 239.66 : x
  2. Step 2: Convert to fraction form
    980.05/1,470.08 = 239.66/x
  3. Step 3: Cross multiply
    980.05x = 1,470.08 × 239.66
  4. Step 4: Simplify right side
    980.05x = 352,319.37
  5. Step 5: Solve for x
    x = 352,319.37/980.05
  6. Step 6: Final answer
    x = 359.49

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1.5x scale

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.