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Finding the Fourth Proportional to 251.23, 346.07 and 209.77

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Solution

The fourth proportional to 251.23, 346.07 and 209.77 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.23 : 346.07 = 209.77 : x
  2. Step 2: Convert to fraction form
    251.23/346.07 = 209.77/x
  3. Step 3: Cross multiply
    251.23x = 346.07 × 209.77
  4. Step 4: Simplify right side
    251.23x = 72,595.10
  5. Step 5: Solve for x
    x = 72,595.10/251.23
  6. Step 6: Final answer
    x = 288.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.