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Finding the Fourth Proportional to 53.95, 74.40 and 36.46

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Solution

The fourth proportional to 53.95, 74.40 and 36.46 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.95 : 74.40 = 36.46 : x
  2. Step 2: Convert to fraction form
    53.95/74.40 = 36.46/x
  3. Step 3: Cross multiply
    53.95x = 74.40 × 36.46
  4. Step 4: Simplify right side
    53.95x = 2,712.26
  5. Step 5: Solve for x
    x = 2,712.26/53.95
  6. Step 6: Final answer
    x = 50.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.