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Finding the Fourth Proportional to 76.36, 105.27 and 53

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Solution

The fourth proportional to 76.36, 105.27 and 53 is: 73.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 105.27 = 53 : x
  2. Step 2: Convert to fraction form
    76.36/105.27 = 53/x
  3. Step 3: Cross multiply
    76.36x = 105.27 × 53
  4. Step 4: Simplify right side
    76.36x = 5,579.31
  5. Step 5: Solve for x
    x = 5,579.31/76.36
  6. Step 6: Final answer
    x = 73.07

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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.