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Finding the Fourth Proportional to 65.41, 89.73 and 64.06

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Solution

The fourth proportional to 65.41, 89.73 and 64.06 is: 87.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.41 : 89.73 = 64.06 : x
  2. Step 2: Convert to fraction form
    65.41/89.73 = 64.06/x
  3. Step 3: Cross multiply
    65.41x = 89.73 × 64.06
  4. Step 4: Simplify right side
    65.41x = 5,748.10
  5. Step 5: Solve for x
    x = 5,748.10/65.41
  6. Step 6: Final answer
    x = 87.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.