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Finding the Fourth Proportional to 56.36, 85.03 and 53.84

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Solution

The fourth proportional to 56.36, 85.03 and 53.84 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.36 : 85.03 = 53.84 : x
  2. Step 2: Convert to fraction form
    56.36/85.03 = 53.84/x
  3. Step 3: Cross multiply
    56.36x = 85.03 × 53.84
  4. Step 4: Simplify right side
    56.36x = 4,578.02
  5. Step 5: Solve for x
    x = 4,578.02/56.36
  6. Step 6: Final answer
    x = 81.23

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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.