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Finding the Fourth Proportional to 69.36, 103.54 and 64.50

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Solution

The fourth proportional to 69.36, 103.54 and 64.50 is: 96.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.36 : 103.54 = 64.50 : x
  2. Step 2: Convert to fraction form
    69.36/103.54 = 64.50/x
  3. Step 3: Cross multiply
    69.36x = 103.54 × 64.50
  4. Step 4: Simplify right side
    69.36x = 6,678.17
  5. Step 5: Solve for x
    x = 6,678.17/69.36
  6. Step 6: Final answer
    x = 96.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.