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Finding the Fourth Proportional to 205, 282.70 and 135.04

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Solution

The fourth proportional to 205, 282.70 and 135.04 is: 186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 282.70 = 135.04 : x
  2. Step 2: Convert to fraction form
    205/282.70 = 135.04/x
  3. Step 3: Cross multiply
    205x = 282.70 × 135.04
  4. Step 4: Simplify right side
    205x = 38,175.81
  5. Step 5: Solve for x
    x = 38,175.81/205
  6. Step 6: Final answer
    x = 186.22

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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.