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Finding the Fourth Proportional to 399.93, 600.21 and 291.75

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Solution

The fourth proportional to 399.93, 600.21 and 291.75 is: 437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.93 : 600.21 = 291.75 : x
  2. Step 2: Convert to fraction form
    399.93/600.21 = 291.75/x
  3. Step 3: Cross multiply
    399.93x = 600.21 × 291.75
  4. Step 4: Simplify right side
    399.93x = 175,111.27
  5. Step 5: Solve for x
    x = 175,111.27/399.93
  6. Step 6: Final answer
    x = 437.85

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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.