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Finding the Fourth Proportional to 53.08, 72.60 and 52.87

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Solution

The fourth proportional to 53.08, 72.60 and 52.87 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.08 : 72.60 = 52.87 : x
  2. Step 2: Convert to fraction form
    53.08/72.60 = 52.87/x
  3. Step 3: Cross multiply
    53.08x = 72.60 × 52.87
  4. Step 4: Simplify right side
    53.08x = 3,838.36
  5. Step 5: Solve for x
    x = 3,838.36/53.08
  6. Step 6: Final answer
    x = 72.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.