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Finding the Fourth Proportional to 46.43, 64.09 and 32.64

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Solution

The fourth proportional to 46.43, 64.09 and 32.64 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.43 : 64.09 = 32.64 : x
  2. Step 2: Convert to fraction form
    46.43/64.09 = 32.64/x
  3. Step 3: Cross multiply
    46.43x = 64.09 × 32.64
  4. Step 4: Simplify right side
    46.43x = 2,091.90
  5. Step 5: Solve for x
    x = 2,091.90/46.43
  6. Step 6: Final answer
    x = 45.05

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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.