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Finding the Fourth Proportional to 205.62, 307.29 and 184.21

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Solution

The fourth proportional to 205.62, 307.29 and 184.21 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.62 : 307.29 = 184.21 : x
  2. Step 2: Convert to fraction form
    205.62/307.29 = 184.21/x
  3. Step 3: Cross multiply
    205.62x = 307.29 × 184.21
  4. Step 4: Simplify right side
    205.62x = 56,605.06
  5. Step 5: Solve for x
    x = 56,605.06/205.62
  6. Step 6: Final answer
    x = 275.29

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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.