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Finding the Fourth Proportional to 205.38, 283.35 and 135.54

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Solution

The fourth proportional to 205.38, 283.35 and 135.54 is: 187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.35 = 135.54 : x
  2. Step 2: Convert to fraction form
    205.38/283.35 = 135.54/x
  3. Step 3: Cross multiply
    205.38x = 283.35 × 135.54
  4. Step 4: Simplify right side
    205.38x = 38,405.26
  5. Step 5: Solve for x
    x = 38,405.26/205.38
  6. Step 6: Final answer
    x = 187.00

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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.