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Finding the Fourth Proportional to 206.02, 284.18 and 123.06

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Solution

The fourth proportional to 206.02, 284.18 and 123.06 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.02 : 284.18 = 123.06 : x
  2. Step 2: Convert to fraction form
    206.02/284.18 = 123.06/x
  3. Step 3: Cross multiply
    206.02x = 284.18 × 123.06
  4. Step 4: Simplify right side
    206.02x = 34,971.19
  5. Step 5: Solve for x
    x = 34,971.19/206.02
  6. Step 6: Final answer
    x = 169.75

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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.