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Finding the Fourth Proportional to 48.40, 66.17 and 46.51

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Solution

The fourth proportional to 48.40, 66.17 and 46.51 is: 63.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.40 : 66.17 = 46.51 : x
  2. Step 2: Convert to fraction form
    48.40/66.17 = 46.51/x
  3. Step 3: Cross multiply
    48.40x = 66.17 × 46.51
  4. Step 4: Simplify right side
    48.40x = 3,077.26
  5. Step 5: Solve for x
    x = 3,077.26/48.40
  6. Step 6: Final answer
    x = 63.58

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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.