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Finding the Fourth Proportional to 97.21, 145.51 and 51.50

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Solution

The fourth proportional to 97.21, 145.51 and 51.50 is: 77.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.21 : 145.51 = 51.50 : x
  2. Step 2: Convert to fraction form
    97.21/145.51 = 51.50/x
  3. Step 3: Cross multiply
    97.21x = 145.51 × 51.50
  4. Step 4: Simplify right side
    97.21x = 7,493.77
  5. Step 5: Solve for x
    x = 7,493.77/97.21
  6. Step 6: Final answer
    x = 77.09

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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.