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Finding the Fourth Proportional to 48.10, 71.26 and 46.30

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Solution

The fourth proportional to 48.10, 71.26 and 46.30 is: 68.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 71.26 = 46.30 : x
  2. Step 2: Convert to fraction form
    48.10/71.26 = 46.30/x
  3. Step 3: Cross multiply
    48.10x = 71.26 × 46.30
  4. Step 4: Simplify right side
    48.10x = 3,299.34
  5. Step 5: Solve for x
    x = 3,299.34/48.10
  6. Step 6: Final answer
    x = 68.59

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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.