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Finding the Fourth Proportional to 297.74, 412.50 and 291.98

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Solution

The fourth proportional to 297.74, 412.50 and 291.98 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 412.50 = 291.98 : x
  2. Step 2: Convert to fraction form
    297.74/412.50 = 291.98/x
  3. Step 3: Cross multiply
    297.74x = 412.50 × 291.98
  4. Step 4: Simplify right side
    297.74x = 120,441.75
  5. Step 5: Solve for x
    x = 120,441.75/297.74
  6. Step 6: Final answer
    x = 404.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.