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Finding the Fourth Proportional to 206.22, 307.95 and 158.16

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Solution

The fourth proportional to 206.22, 307.95 and 158.16 is: 236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.22 : 307.95 = 158.16 : x
  2. Step 2: Convert to fraction form
    206.22/307.95 = 158.16/x
  3. Step 3: Cross multiply
    206.22x = 307.95 × 158.16
  4. Step 4: Simplify right side
    206.22x = 48,705.37
  5. Step 5: Solve for x
    x = 48,705.37/206.22
  6. Step 6: Final answer
    x = 236.18

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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.