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Finding the Fourth Proportional to 600.16, 900.16 and 381.46

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Solution

The fourth proportional to 600.16, 900.16 and 381.46 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 900.16 = 381.46 : x
  2. Step 2: Convert to fraction form
    600.16/900.16 = 381.46/x
  3. Step 3: Cross multiply
    600.16x = 900.16 × 381.46
  4. Step 4: Simplify right side
    600.16x = 343,375.03
  5. Step 5: Solve for x
    x = 343,375.03/600.16
  6. Step 6: Final answer
    x = 572.14

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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.