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Finding the Fourth Proportional to 53.09, 72.77 and 52.98

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Solution

The fourth proportional to 53.09, 72.77 and 52.98 is: 72.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.09 : 72.77 = 52.98 : x
  2. Step 2: Convert to fraction form
    53.09/72.77 = 52.98/x
  3. Step 3: Cross multiply
    53.09x = 72.77 × 52.98
  4. Step 4: Simplify right side
    53.09x = 3,855.35
  5. Step 5: Solve for x
    x = 3,855.35/53.09
  6. Step 6: Final answer
    x = 72.62

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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.