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Finding the Fourth Proportional to 47.49, 65.15 and 46.23

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Solution

The fourth proportional to 47.49, 65.15 and 46.23 is: 63.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.49 : 65.15 = 46.23 : x
  2. Step 2: Convert to fraction form
    47.49/65.15 = 46.23/x
  3. Step 3: Cross multiply
    47.49x = 65.15 × 46.23
  4. Step 4: Simplify right side
    47.49x = 3,011.88
  5. Step 5: Solve for x
    x = 3,011.88/47.49
  6. Step 6: Final answer
    x = 63.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.