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Finding the Fourth Proportional to 205.34, 283.46 and 135.40

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Solution

The fourth proportional to 205.34, 283.46 and 135.40 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 283.46 = 135.40 : x
  2. Step 2: Convert to fraction form
    205.34/283.46 = 135.40/x
  3. Step 3: Cross multiply
    205.34x = 283.46 × 135.40
  4. Step 4: Simplify right side
    205.34x = 38,381.18
  5. Step 5: Solve for x
    x = 38,381.18/205.34
  6. Step 6: Final answer
    x = 186.92

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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.