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Finding the Fourth Proportional to 68.64, 103.46 and 62.32

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Solution

The fourth proportional to 68.64, 103.46 and 62.32 is: 93.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 103.46 = 62.32 : x
  2. Step 2: Convert to fraction form
    68.64/103.46 = 62.32/x
  3. Step 3: Cross multiply
    68.64x = 103.46 × 62.32
  4. Step 4: Simplify right side
    68.64x = 6,447.63
  5. Step 5: Solve for x
    x = 6,447.63/68.64
  6. Step 6: Final answer
    x = 93.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.