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Finding the Fourth Proportional to 48.70, 73 and 46.47

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Solution

The fourth proportional to 48.70, 73 and 46.47 is: 69.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 73 = 46.47 : x
  2. Step 2: Convert to fraction form
    48.70/73 = 46.47/x
  3. Step 3: Cross multiply
    48.70x = 73 × 46.47
  4. Step 4: Simplify right side
    48.70x = 3,392.31
  5. Step 5: Solve for x
    x = 3,392.31/48.70
  6. Step 6: Final answer
    x = 69.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.