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Finding the Fourth Proportional to 400.96, 602 and 309.72

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Solution

The fourth proportional to 400.96, 602 and 309.72 is: 465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 602 = 309.72 : x
  2. Step 2: Convert to fraction form
    400.96/602 = 309.72/x
  3. Step 3: Cross multiply
    400.96x = 602 × 309.72
  4. Step 4: Simplify right side
    400.96x = 186,451.44
  5. Step 5: Solve for x
    x = 186,451.44/400.96
  6. Step 6: Final answer
    x = 465.01

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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.