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Finding the Fourth Proportional to 292.37, 439.29 and 211.77

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Solution

The fourth proportional to 292.37, 439.29 and 211.77 is: 318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.37 : 439.29 = 211.77 : x
  2. Step 2: Convert to fraction form
    292.37/439.29 = 211.77/x
  3. Step 3: Cross multiply
    292.37x = 439.29 × 211.77
  4. Step 4: Simplify right side
    292.37x = 93,028.44
  5. Step 5: Solve for x
    x = 93,028.44/292.37
  6. Step 6: Final answer
    x = 318.19

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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.