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Finding the Fourth Proportional to 46.24, 68.56 and 45.82

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Solution

The fourth proportional to 46.24, 68.56 and 45.82 is: 67.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.24 : 68.56 = 45.82 : x
  2. Step 2: Convert to fraction form
    46.24/68.56 = 45.82/x
  3. Step 3: Cross multiply
    46.24x = 68.56 × 45.82
  4. Step 4: Simplify right side
    46.24x = 3,141.42
  5. Step 5: Solve for x
    x = 3,141.42/46.24
  6. Step 6: Final answer
    x = 67.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.