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Finding the Fourth Proportional to 874.23, 1,311.23 and 224.93

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Solution

The fourth proportional to 874.23, 1,311.23 and 224.93 is: 337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.23 : 1,311.23 = 224.93 : x
  2. Step 2: Convert to fraction form
    874.23/1,311.23 = 224.93/x
  3. Step 3: Cross multiply
    874.23x = 1,311.23 × 224.93
  4. Step 4: Simplify right side
    874.23x = 294,927.28
  5. Step 5: Solve for x
    x = 294,927.28/874.23
  6. Step 6: Final answer
    x = 337.36

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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.