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Finding the Fourth Proportional to 320.10, 442.17 and 285.27

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Solution

The fourth proportional to 320.10, 442.17 and 285.27 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 442.17 = 285.27 : x
  2. Step 2: Convert to fraction form
    320.10/442.17 = 285.27/x
  3. Step 3: Cross multiply
    320.10x = 442.17 × 285.27
  4. Step 4: Simplify right side
    320.10x = 126,137.84
  5. Step 5: Solve for x
    x = 126,137.84/320.10
  6. Step 6: Final answer
    x = 394.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.