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Finding the Fourth Proportional to 46.56, 64.16 and 40.80

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Solution

The fourth proportional to 46.56, 64.16 and 40.80 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 64.16 = 40.80 : x
  2. Step 2: Convert to fraction form
    46.56/64.16 = 40.80/x
  3. Step 3: Cross multiply
    46.56x = 64.16 × 40.80
  4. Step 4: Simplify right side
    46.56x = 2,617.73
  5. Step 5: Solve for x
    x = 2,617.73/46.56
  6. Step 6: Final answer
    x = 56.22

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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.