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Finding the Fourth Proportional to 53.98, 75.01 and 53.34

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Solution

The fourth proportional to 53.98, 75.01 and 53.34 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 75.01 = 53.34 : x
  2. Step 2: Convert to fraction form
    53.98/75.01 = 53.34/x
  3. Step 3: Cross multiply
    53.98x = 75.01 × 53.34
  4. Step 4: Simplify right side
    53.98x = 4,001.03
  5. Step 5: Solve for x
    x = 4,001.03/53.98
  6. Step 6: Final answer
    x = 74.12

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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.