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Finding the Fourth Proportional to 398.75, 595.20 and 380.99

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Solution

The fourth proportional to 398.75, 595.20 and 380.99 is: 568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.75 : 595.20 = 380.99 : x
  2. Step 2: Convert to fraction form
    398.75/595.20 = 380.99/x
  3. Step 3: Cross multiply
    398.75x = 595.20 × 380.99
  4. Step 4: Simplify right side
    398.75x = 226,762.27
  5. Step 5: Solve for x
    x = 226,762.27/398.75
  6. Step 6: Final answer
    x = 568.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.