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Finding the Fourth Proportional to 205.04, 306.51 and 153.20

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Solution

The fourth proportional to 205.04, 306.51 and 153.20 is: 229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 306.51 = 153.20 : x
  2. Step 2: Convert to fraction form
    205.04/306.51 = 153.20/x
  3. Step 3: Cross multiply
    205.04x = 306.51 × 153.20
  4. Step 4: Simplify right side
    205.04x = 46,957.33
  5. Step 5: Solve for x
    x = 46,957.33/205.04
  6. Step 6: Final answer
    x = 229.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.