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Finding the Fourth Proportional to 229.02, 315.99 and 135.78

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Solution

The fourth proportional to 229.02, 315.99 and 135.78 is: 187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 315.99 = 135.78 : x
  2. Step 2: Convert to fraction form
    229.02/315.99 = 135.78/x
  3. Step 3: Cross multiply
    229.02x = 315.99 × 135.78
  4. Step 4: Simplify right side
    229.02x = 42,906.25
  5. Step 5: Solve for x
    x = 42,906.25/229.02
  6. Step 6: Final answer
    x = 187.35

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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.