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Finding the Fourth Proportional to 295.85, 442.71 and 180.32

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Solution

The fourth proportional to 295.85, 442.71 and 180.32 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.85 : 442.71 = 180.32 : x
  2. Step 2: Convert to fraction form
    295.85/442.71 = 180.32/x
  3. Step 3: Cross multiply
    295.85x = 442.71 × 180.32
  4. Step 4: Simplify right side
    295.85x = 79,828.57
  5. Step 5: Solve for x
    x = 79,828.57/295.85
  6. Step 6: Final answer
    x = 269.83

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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.