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Finding the Fourth Proportional to 94.86, 130.80 and 68.64

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Solution

The fourth proportional to 94.86, 130.80 and 68.64 is: 94.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 130.80 = 68.64 : x
  2. Step 2: Convert to fraction form
    94.86/130.80 = 68.64/x
  3. Step 3: Cross multiply
    94.86x = 130.80 × 68.64
  4. Step 4: Simplify right side
    94.86x = 8,978.11
  5. Step 5: Solve for x
    x = 8,978.11/94.86
  6. Step 6: Final answer
    x = 94.65

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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.