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Finding the Fourth Proportional to 192.60, 288.86 and 64.34

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Solution

The fourth proportional to 192.60, 288.86 and 64.34 is: 96.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 288.86 = 64.34 : x
  2. Step 2: Convert to fraction form
    192.60/288.86 = 64.34/x
  3. Step 3: Cross multiply
    192.60x = 288.86 × 64.34
  4. Step 4: Simplify right side
    192.60x = 18,585.25
  5. Step 5: Solve for x
    x = 18,585.25/192.60
  6. Step 6: Final answer
    x = 96.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.