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Finding the Fourth Proportional to 311.52, 427.74 and 291.54

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Solution

The fourth proportional to 311.52, 427.74 and 291.54 is: 400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 427.74 = 291.54 : x
  2. Step 2: Convert to fraction form
    311.52/427.74 = 291.54/x
  3. Step 3: Cross multiply
    311.52x = 427.74 × 291.54
  4. Step 4: Simplify right side
    311.52x = 124,703.32
  5. Step 5: Solve for x
    x = 124,703.32/311.52
  6. Step 6: Final answer
    x = 400.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.