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Finding the Fourth Proportional to 828.04, 1,242.18 and 250.96

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Solution

The fourth proportional to 828.04, 1,242.18 and 250.96 is: 376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,242.18 = 250.96 : x
  2. Step 2: Convert to fraction form
    828.04/1,242.18 = 250.96/x
  3. Step 3: Cross multiply
    828.04x = 1,242.18 × 250.96
  4. Step 4: Simplify right side
    828.04x = 311,737.49
  5. Step 5: Solve for x
    x = 311,737.49/828.04
  6. Step 6: Final answer
    x = 376.48

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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.