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Finding the Fourth Proportional to 352.23, 485.03 and 278.32

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Solution

The fourth proportional to 352.23, 485.03 and 278.32 is: 383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.23 : 485.03 = 278.32 : x
  2. Step 2: Convert to fraction form
    352.23/485.03 = 278.32/x
  3. Step 3: Cross multiply
    352.23x = 485.03 × 278.32
  4. Step 4: Simplify right side
    352.23x = 134,989.73
  5. Step 5: Solve for x
    x = 134,989.73/352.23
  6. Step 6: Final answer
    x = 383.24

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Why These Related Problems?

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