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Finding the Fourth Proportional to 115.76, 159.73 and 64

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Solution

The fourth proportional to 115.76, 159.73 and 64 is: 88.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.76 : 159.73 = 64 : x
  2. Step 2: Convert to fraction form
    115.76/159.73 = 64/x
  3. Step 3: Cross multiply
    115.76x = 159.73 × 64
  4. Step 4: Simplify right side
    115.76x = 10,222.72
  5. Step 5: Solve for x
    x = 10,222.72/115.76
  6. Step 6: Final answer
    x = 88.31

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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.