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Finding the Fourth Proportional to 401.16, 600.66 and 309.12

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Solution

The fourth proportional to 401.16, 600.66 and 309.12 is: 462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 600.66 = 309.12 : x
  2. Step 2: Convert to fraction form
    401.16/600.66 = 309.12/x
  3. Step 3: Cross multiply
    401.16x = 600.66 × 309.12
  4. Step 4: Simplify right side
    401.16x = 185,676.02
  5. Step 5: Solve for x
    x = 185,676.02/401.16
  6. Step 6: Final answer
    x = 462.85

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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.