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Finding the Fourth Proportional to 54.34, 81.80 and 46.51

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Solution

The fourth proportional to 54.34, 81.80 and 46.51 is: 70.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 81.80 = 46.51 : x
  2. Step 2: Convert to fraction form
    54.34/81.80 = 46.51/x
  3. Step 3: Cross multiply
    54.34x = 81.80 × 46.51
  4. Step 4: Simplify right side
    54.34x = 3,804.52
  5. Step 5: Solve for x
    x = 3,804.52/54.34
  6. Step 6: Final answer
    x = 70.01

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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.