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Finding the Fourth Proportional to 228.66, 344.40 and 203.28

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Solution

The fourth proportional to 228.66, 344.40 and 203.28 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.66 : 344.40 = 203.28 : x
  2. Step 2: Convert to fraction form
    228.66/344.40 = 203.28/x
  3. Step 3: Cross multiply
    228.66x = 344.40 × 203.28
  4. Step 4: Simplify right side
    228.66x = 70,009.63
  5. Step 5: Solve for x
    x = 70,009.63/228.66
  6. Step 6: Final answer
    x = 306.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.