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Finding the Fourth Proportional to 64.89, 89.54 and 35.78

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Solution

The fourth proportional to 64.89, 89.54 and 35.78 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 89.54 = 35.78 : x
  2. Step 2: Convert to fraction form
    64.89/89.54 = 35.78/x
  3. Step 3: Cross multiply
    64.89x = 89.54 × 35.78
  4. Step 4: Simplify right side
    64.89x = 3,203.72
  5. Step 5: Solve for x
    x = 3,203.72/64.89
  6. Step 6: Final answer
    x = 49.37

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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.