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Finding the Fourth Proportional to 400.29, 599.75 and 297.77

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Solution

The fourth proportional to 400.29, 599.75 and 297.77 is: 446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 599.75 = 297.77 : x
  2. Step 2: Convert to fraction form
    400.29/599.75 = 297.77/x
  3. Step 3: Cross multiply
    400.29x = 599.75 × 297.77
  4. Step 4: Simplify right side
    400.29x = 178,586.07
  5. Step 5: Solve for x
    x = 178,586.07/400.29
  6. Step 6: Final answer
    x = 446.15

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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.