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Finding the Fourth Proportional to 64.82, 89.48 and 39.94

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Solution

The fourth proportional to 64.82, 89.48 and 39.94 is: 55.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 89.48 = 39.94 : x
  2. Step 2: Convert to fraction form
    64.82/89.48 = 39.94/x
  3. Step 3: Cross multiply
    64.82x = 89.48 × 39.94
  4. Step 4: Simplify right side
    64.82x = 3,573.71
  5. Step 5: Solve for x
    x = 3,573.71/64.82
  6. Step 6: Final answer
    x = 55.13

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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.