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Finding the Fourth Proportional to 206.06, 307.64 and 175.19

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Solution

The fourth proportional to 206.06, 307.64 and 175.19 is: 261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 307.64 = 175.19 : x
  2. Step 2: Convert to fraction form
    206.06/307.64 = 175.19/x
  3. Step 3: Cross multiply
    206.06x = 307.64 × 175.19
  4. Step 4: Simplify right side
    206.06x = 53,893.04
  5. Step 5: Solve for x
    x = 53,893.04/206.06
  6. Step 6: Final answer
    x = 261.55

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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.