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Finding the Fourth Proportional to 206.24, 307.57 and 176

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Solution

The fourth proportional to 206.24, 307.57 and 176 is: 262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 307.57 = 176 : x
  2. Step 2: Convert to fraction form
    206.24/307.57 = 176/x
  3. Step 3: Cross multiply
    206.24x = 307.57 × 176
  4. Step 4: Simplify right side
    206.24x = 54,132.32
  5. Step 5: Solve for x
    x = 54,132.32/206.24
  6. Step 6: Final answer
    x = 262.47

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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.