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Finding the Fourth Proportional to 64.13, 88.50 and 50.33

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Solution

The fourth proportional to 64.13, 88.50 and 50.33 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 88.50 = 50.33 : x
  2. Step 2: Convert to fraction form
    64.13/88.50 = 50.33/x
  3. Step 3: Cross multiply
    64.13x = 88.50 × 50.33
  4. Step 4: Simplify right side
    64.13x = 4,453.76
  5. Step 5: Solve for x
    x = 4,453.76/64.13
  6. Step 6: Final answer
    x = 69.45

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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.