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Finding the Fourth Proportional to 64.78, 89.35 and 38.54

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Solution

The fourth proportional to 64.78, 89.35 and 38.54 is: 53.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 89.35 = 38.54 : x
  2. Step 2: Convert to fraction form
    64.78/89.35 = 38.54/x
  3. Step 3: Cross multiply
    64.78x = 89.35 × 38.54
  4. Step 4: Simplify right side
    64.78x = 3,443.36
  5. Step 5: Solve for x
    x = 3,443.36/64.78
  6. Step 6: Final answer
    x = 53.16

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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.