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Finding the Fourth Proportional to 68.31, 93.86 and 65.30

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Solution

The fourth proportional to 68.31, 93.86 and 65.30 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.31 : 93.86 = 65.30 : x
  2. Step 2: Convert to fraction form
    68.31/93.86 = 65.30/x
  3. Step 3: Cross multiply
    68.31x = 93.86 × 65.30
  4. Step 4: Simplify right side
    68.31x = 6,128.59
  5. Step 5: Solve for x
    x = 6,128.59/68.31
  6. Step 6: Final answer
    x = 89.72

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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.