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Finding the Fourth Proportional to 469.82, 705.08 and 177.61

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Solution

The fourth proportional to 469.82, 705.08 and 177.61 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.82 : 705.08 = 177.61 : x
  2. Step 2: Convert to fraction form
    469.82/705.08 = 177.61/x
  3. Step 3: Cross multiply
    469.82x = 705.08 × 177.61
  4. Step 4: Simplify right side
    469.82x = 125,227.94
  5. Step 5: Solve for x
    x = 125,227.94/469.82
  6. Step 6: Final answer
    x = 266.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.