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Finding the Fourth Proportional to 64.12, 88.42 and 50.28

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Solution

The fourth proportional to 64.12, 88.42 and 50.28 is: 69.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.12 : 88.42 = 50.28 : x
  2. Step 2: Convert to fraction form
    64.12/88.42 = 50.28/x
  3. Step 3: Cross multiply
    64.12x = 88.42 × 50.28
  4. Step 4: Simplify right side
    64.12x = 4,445.76
  5. Step 5: Solve for x
    x = 4,445.76/64.12
  6. Step 6: Final answer
    x = 69.33

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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.