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Finding the Fourth Proportional to 295.20, 442.08 and 166.72

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Solution

The fourth proportional to 295.20, 442.08 and 166.72 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.20 : 442.08 = 166.72 : x
  2. Step 2: Convert to fraction form
    295.20/442.08 = 166.72/x
  3. Step 3: Cross multiply
    295.20x = 442.08 × 166.72
  4. Step 4: Simplify right side
    295.20x = 73,703.58
  5. Step 5: Solve for x
    x = 73,703.58/295.20
  6. Step 6: Final answer
    x = 249.67

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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.