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Finding the Fourth Proportional to 64.87, 97.10 and 51.20

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Solution

The fourth proportional to 64.87, 97.10 and 51.20 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.87 : 97.10 = 51.20 : x
  2. Step 2: Convert to fraction form
    64.87/97.10 = 51.20/x
  3. Step 3: Cross multiply
    64.87x = 97.10 × 51.20
  4. Step 4: Simplify right side
    64.87x = 4,971.33
  5. Step 5: Solve for x
    x = 4,971.33/64.87
  6. Step 6: Final answer
    x = 76.64

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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.