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Finding the Fourth Proportional to 53.84, 81.05 and 46.01

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Solution

The fourth proportional to 53.84, 81.05 and 46.01 is: 69.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 81.05 = 46.01 : x
  2. Step 2: Convert to fraction form
    53.84/81.05 = 46.01/x
  3. Step 3: Cross multiply
    53.84x = 81.05 × 46.01
  4. Step 4: Simplify right side
    53.84x = 3,729.11
  5. Step 5: Solve for x
    x = 3,729.11/53.84
  6. Step 6: Final answer
    x = 69.26

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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.