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Finding the Fourth Proportional to 48.48, 67 and 46.40

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Solution

The fourth proportional to 48.48, 67 and 46.40 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.48 : 67 = 46.40 : x
  2. Step 2: Convert to fraction form
    48.48/67 = 46.40/x
  3. Step 3: Cross multiply
    48.48x = 67 × 46.40
  4. Step 4: Simplify right side
    48.48x = 3,108.80
  5. Step 5: Solve for x
    x = 3,108.80/48.48
  6. Step 6: Final answer
    x = 64.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.