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Finding the Fourth Proportional to 132.86, 199.17 and 64.31

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Solution

The fourth proportional to 132.86, 199.17 and 64.31 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 199.17 = 64.31 : x
  2. Step 2: Convert to fraction form
    132.86/199.17 = 64.31/x
  3. Step 3: Cross multiply
    132.86x = 199.17 × 64.31
  4. Step 4: Simplify right side
    132.86x = 12,807.63
  5. Step 5: Solve for x
    x = 12,807.63/132.86
  6. Step 6: Final answer
    x = 96.40

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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.