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Finding the Fourth Proportional to 51.21, 76.70 and 29.49

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Solution

The fourth proportional to 51.21, 76.70 and 29.49 is: 44.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.21 : 76.70 = 29.49 : x
  2. Step 2: Convert to fraction form
    51.21/76.70 = 29.49/x
  3. Step 3: Cross multiply
    51.21x = 76.70 × 29.49
  4. Step 4: Simplify right side
    51.21x = 2,261.88
  5. Step 5: Solve for x
    x = 2,261.88/51.21
  6. Step 6: Final answer
    x = 44.17

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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.