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Finding the Fourth Proportional to 203.92, 304.16 and 178.40

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Solution

The fourth proportional to 203.92, 304.16 and 178.40 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.92 : 304.16 = 178.40 : x
  2. Step 2: Convert to fraction form
    203.92/304.16 = 178.40/x
  3. Step 3: Cross multiply
    203.92x = 304.16 × 178.40
  4. Step 4: Simplify right side
    203.92x = 54,262.01
  5. Step 5: Solve for x
    x = 54,262.01/203.92
  6. Step 6: Final answer
    x = 266.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.