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Finding the Fourth Proportional to 600.24, 900.24 and 311.52

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Solution

The fourth proportional to 600.24, 900.24 and 311.52 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 900.24 = 311.52 : x
  2. Step 2: Convert to fraction form
    600.24/900.24 = 311.52/x
  3. Step 3: Cross multiply
    600.24x = 900.24 × 311.52
  4. Step 4: Simplify right side
    600.24x = 280,442.76
  5. Step 5: Solve for x
    x = 280,442.76/600.24
  6. Step 6: Final answer
    x = 467.22

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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.