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Finding the Fourth Proportional to 940.40, 1,410.49 and 282.20

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Solution

The fourth proportional to 940.40, 1,410.49 and 282.20 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.40 : 1,410.49 = 282.20 : x
  2. Step 2: Convert to fraction form
    940.40/1,410.49 = 282.20/x
  3. Step 3: Cross multiply
    940.40x = 1,410.49 × 282.20
  4. Step 4: Simplify right side
    940.40x = 398,038.87
  5. Step 5: Solve for x
    x = 398,038.87/940.40
  6. Step 6: Final answer
    x = 423.27

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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.