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Finding the Fourth Proportional to 399.53, 597.78 and 262.74

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Solution

The fourth proportional to 399.53, 597.78 and 262.74 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 597.78 = 262.74 : x
  2. Step 2: Convert to fraction form
    399.53/597.78 = 262.74/x
  3. Step 3: Cross multiply
    399.53x = 597.78 × 262.74
  4. Step 4: Simplify right side
    399.53x = 157,062.96
  5. Step 5: Solve for x
    x = 157,062.96/399.53
  6. Step 6: Final answer
    x = 393.12

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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.