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Finding the Fourth Proportional to 939.48, 1,409.38 and 290.20

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Solution

The fourth proportional to 939.48, 1,409.38 and 290.20 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.48 : 1,409.38 = 290.20 : x
  2. Step 2: Convert to fraction form
    939.48/1,409.38 = 290.20/x
  3. Step 3: Cross multiply
    939.48x = 1,409.38 × 290.20
  4. Step 4: Simplify right side
    939.48x = 409,002.08
  5. Step 5: Solve for x
    x = 409,002.08/939.48
  6. Step 6: Final answer
    x = 435.35

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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.