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Finding the Fourth Proportional to 320.34, 480.51 and 252.23

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Solution

The fourth proportional to 320.34, 480.51 and 252.23 is: 378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 480.51 = 252.23 : x
  2. Step 2: Convert to fraction form
    320.34/480.51 = 252.23/x
  3. Step 3: Cross multiply
    320.34x = 480.51 × 252.23
  4. Step 4: Simplify right side
    320.34x = 121,196.63
  5. Step 5: Solve for x
    x = 121,196.63/320.34
  6. Step 6: Final answer
    x = 378.34

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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.