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Finding the Fourth Proportional to 931.23, 1,396.98 and 282.02

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Solution

The fourth proportional to 931.23, 1,396.98 and 282.02 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.23 : 1,396.98 = 282.02 : x
  2. Step 2: Convert to fraction form
    931.23/1,396.98 = 282.02/x
  3. Step 3: Cross multiply
    931.23x = 1,396.98 × 282.02
  4. Step 4: Simplify right side
    931.23x = 393,976.30
  5. Step 5: Solve for x
    x = 393,976.30/931.23
  6. Step 6: Final answer
    x = 423.07

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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.