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Finding the Fourth Proportional to 206.04, 307.86 and 169.50

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Solution

The fourth proportional to 206.04, 307.86 and 169.50 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 307.86 = 169.50 : x
  2. Step 2: Convert to fraction form
    206.04/307.86 = 169.50/x
  3. Step 3: Cross multiply
    206.04x = 307.86 × 169.50
  4. Step 4: Simplify right side
    206.04x = 52,182.27
  5. Step 5: Solve for x
    x = 52,182.27/206.04
  6. Step 6: Final answer
    x = 253.26

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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.