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Finding the Fourth Proportional to 48.49, 73.15 and 46.60

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Solution

The fourth proportional to 48.49, 73.15 and 46.60 is: 70.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.49 : 73.15 = 46.60 : x
  2. Step 2: Convert to fraction form
    48.49/73.15 = 46.60/x
  3. Step 3: Cross multiply
    48.49x = 73.15 × 46.60
  4. Step 4: Simplify right side
    48.49x = 3,408.79
  5. Step 5: Solve for x
    x = 3,408.79/48.49
  6. Step 6: Final answer
    x = 70.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.