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Finding the Fourth Proportional to 238.02, 330.14 and 228.30

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Solution

The fourth proportional to 238.02, 330.14 and 228.30 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 330.14 = 228.30 : x
  2. Step 2: Convert to fraction form
    238.02/330.14 = 228.30/x
  3. Step 3: Cross multiply
    238.02x = 330.14 × 228.30
  4. Step 4: Simplify right side
    238.02x = 75,369.82
  5. Step 5: Solve for x
    x = 75,369.82/238.02
  6. Step 6: Final answer
    x = 316.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.