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Finding the Fourth Proportional to 57.33, 85.89 and 48.36

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Solution

The fourth proportional to 57.33, 85.89 and 48.36 is: 72.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.33 : 85.89 = 48.36 : x
  2. Step 2: Convert to fraction form
    57.33/85.89 = 48.36/x
  3. Step 3: Cross multiply
    57.33x = 85.89 × 48.36
  4. Step 4: Simplify right side
    57.33x = 4,153.64
  5. Step 5: Solve for x
    x = 4,153.64/57.33
  6. Step 6: Final answer
    x = 72.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.