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Finding the Fourth Proportional to 46.54, 64.21 and 34.29

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Solution

The fourth proportional to 46.54, 64.21 and 34.29 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.54 : 64.21 = 34.29 : x
  2. Step 2: Convert to fraction form
    46.54/64.21 = 34.29/x
  3. Step 3: Cross multiply
    46.54x = 64.21 × 34.29
  4. Step 4: Simplify right side
    46.54x = 2,201.74
  5. Step 5: Solve for x
    x = 2,201.74/46.54
  6. Step 6: Final answer
    x = 47.31

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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.