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Finding the Fourth Proportional to 398.17, 595.85 and 288.61

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Solution

The fourth proportional to 398.17, 595.85 and 288.61 is: 431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.17 : 595.85 = 288.61 : x
  2. Step 2: Convert to fraction form
    398.17/595.85 = 288.61/x
  3. Step 3: Cross multiply
    398.17x = 595.85 × 288.61
  4. Step 4: Simplify right side
    398.17x = 171,968.27
  5. Step 5: Solve for x
    x = 171,968.27/398.17
  6. Step 6: Final answer
    x = 431.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.