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Finding the Fourth Proportional to 206.05, 307.58 and 175.30

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Solution

The fourth proportional to 206.05, 307.58 and 175.30 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 307.58 = 175.30 : x
  2. Step 2: Convert to fraction form
    206.05/307.58 = 175.30/x
  3. Step 3: Cross multiply
    206.05x = 307.58 × 175.30
  4. Step 4: Simplify right side
    206.05x = 53,918.77
  5. Step 5: Solve for x
    x = 53,918.77/206.05
  6. Step 6: Final answer
    x = 261.68

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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.