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Finding the Fourth Proportional to 53.95, 74.96 and 53.39

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Solution

The fourth proportional to 53.95, 74.96 and 53.39 is: 74.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.95 : 74.96 = 53.39 : x
  2. Step 2: Convert to fraction form
    53.95/74.96 = 53.39/x
  3. Step 3: Cross multiply
    53.95x = 74.96 × 53.39
  4. Step 4: Simplify right side
    53.95x = 4,002.18
  5. Step 5: Solve for x
    x = 4,002.18/53.95
  6. Step 6: Final answer
    x = 74.19

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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.