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Finding the Fourth Proportional to 205.30, 283.08 and 156.28

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Solution

The fourth proportional to 205.30, 283.08 and 156.28 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 283.08 = 156.28 : x
  2. Step 2: Convert to fraction form
    205.30/283.08 = 156.28/x
  3. Step 3: Cross multiply
    205.30x = 283.08 × 156.28
  4. Step 4: Simplify right side
    205.30x = 44,239.74
  5. Step 5: Solve for x
    x = 44,239.74/205.30
  6. Step 6: Final answer
    x = 215.49

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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.