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Finding the Fourth Proportional to 84.02, 115.79 and 64.35

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Solution

The fourth proportional to 84.02, 115.79 and 64.35 is: 88.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 115.79 = 64.35 : x
  2. Step 2: Convert to fraction form
    84.02/115.79 = 64.35/x
  3. Step 3: Cross multiply
    84.02x = 115.79 × 64.35
  4. Step 4: Simplify right side
    84.02x = 7,450.76
  5. Step 5: Solve for x
    x = 7,450.76/84.02
  6. Step 6: Final answer
    x = 88.68

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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.