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Finding the Fourth Proportional to 398.69, 595.11 and 370.84

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Solution

The fourth proportional to 398.69, 595.11 and 370.84 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 595.11 = 370.84 : x
  2. Step 2: Convert to fraction form
    398.69/595.11 = 370.84/x
  3. Step 3: Cross multiply
    398.69x = 595.11 × 370.84
  4. Step 4: Simplify right side
    398.69x = 220,690.59
  5. Step 5: Solve for x
    x = 220,690.59/398.69
  6. Step 6: Final answer
    x = 553.54

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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.