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Finding the Fourth Proportional to 206.01, 307.53 and 175.77

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Solution

The fourth proportional to 206.01, 307.53 and 175.77 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 307.53 = 175.77 : x
  2. Step 2: Convert to fraction form
    206.01/307.53 = 175.77/x
  3. Step 3: Cross multiply
    206.01x = 307.53 × 175.77
  4. Step 4: Simplify right side
    206.01x = 54,054.55
  5. Step 5: Solve for x
    x = 54,054.55/206.01
  6. Step 6: Final answer
    x = 262.39

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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.