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Finding the Fourth Proportional to 267.50, 401.34 and 145.80

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Solution

The fourth proportional to 267.50, 401.34 and 145.80 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 401.34 = 145.80 : x
  2. Step 2: Convert to fraction form
    267.50/401.34 = 145.80/x
  3. Step 3: Cross multiply
    267.50x = 401.34 × 145.80
  4. Step 4: Simplify right side
    267.50x = 58,515.37
  5. Step 5: Solve for x
    x = 58,515.37/267.50
  6. Step 6: Final answer
    x = 218.75

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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.