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Finding the Fourth Proportional to 64.28, 96.47 and 37.25

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Solution

The fourth proportional to 64.28, 96.47 and 37.25 is: 55.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.28 : 96.47 = 37.25 : x
  2. Step 2: Convert to fraction form
    64.28/96.47 = 37.25/x
  3. Step 3: Cross multiply
    64.28x = 96.47 × 37.25
  4. Step 4: Simplify right side
    64.28x = 3,593.51
  5. Step 5: Solve for x
    x = 3,593.51/64.28
  6. Step 6: Final answer
    x = 55.90

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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.