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Finding the Fourth Proportional to 53.08, 73.61 and 51.24

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Solution

The fourth proportional to 53.08, 73.61 and 51.24 is: 71.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.08 : 73.61 = 51.24 : x
  2. Step 2: Convert to fraction form
    53.08/73.61 = 51.24/x
  3. Step 3: Cross multiply
    53.08x = 73.61 × 51.24
  4. Step 4: Simplify right side
    53.08x = 3,771.78
  5. Step 5: Solve for x
    x = 3,771.78/53.08
  6. Step 6: Final answer
    x = 71.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.