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Finding the Fourth Proportional to 320.95, 442.46 and 215.85

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Solution

The fourth proportional to 320.95, 442.46 and 215.85 is: 297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.95 : 442.46 = 215.85 : x
  2. Step 2: Convert to fraction form
    320.95/442.46 = 215.85/x
  3. Step 3: Cross multiply
    320.95x = 442.46 × 215.85
  4. Step 4: Simplify right side
    320.95x = 95,504.99
  5. Step 5: Solve for x
    x = 95,504.99/320.95
  6. Step 6: Final answer
    x = 297.57

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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.