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Finding the Fourth Proportional to 64.05, 88.25 and 51.09

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Solution

The fourth proportional to 64.05, 88.25 and 51.09 is: 70.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.05 : 88.25 = 51.09 : x
  2. Step 2: Convert to fraction form
    64.05/88.25 = 51.09/x
  3. Step 3: Cross multiply
    64.05x = 88.25 × 51.09
  4. Step 4: Simplify right side
    64.05x = 4,508.44
  5. Step 5: Solve for x
    x = 4,508.44/64.05
  6. Step 6: Final answer
    x = 70.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.