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Finding the Fourth Proportional to 46.45, 64.09 and 25.72

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Solution

The fourth proportional to 46.45, 64.09 and 25.72 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 64.09 = 25.72 : x
  2. Step 2: Convert to fraction form
    46.45/64.09 = 25.72/x
  3. Step 3: Cross multiply
    46.45x = 64.09 × 25.72
  4. Step 4: Simplify right side
    46.45x = 1,648.68
  5. Step 5: Solve for x
    x = 1,648.68/46.45
  6. Step 6: Final answer
    x = 35.50

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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.