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Finding the Fourth Proportional to 292.72, 437.82 and 170.68

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Solution

The fourth proportional to 292.72, 437.82 and 170.68 is: 255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.72 : 437.82 = 170.68 : x
  2. Step 2: Convert to fraction form
    292.72/437.82 = 170.68/x
  3. Step 3: Cross multiply
    292.72x = 437.82 × 170.68
  4. Step 4: Simplify right side
    292.72x = 74,727.12
  5. Step 5: Solve for x
    x = 74,727.12/292.72
  6. Step 6: Final answer
    x = 255.29

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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.