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Finding the Fourth Proportional to 399.53, 599.57 and 297.08

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Solution

The fourth proportional to 399.53, 599.57 and 297.08 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 599.57 = 297.08 : x
  2. Step 2: Convert to fraction form
    399.53/599.57 = 297.08/x
  3. Step 3: Cross multiply
    399.53x = 599.57 × 297.08
  4. Step 4: Simplify right side
    399.53x = 178,118.77
  5. Step 5: Solve for x
    x = 178,118.77/399.53
  6. Step 6: Final answer
    x = 445.82

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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.