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Finding the Fourth Proportional to 53.31, 73.59 and 35.82

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Solution

The fourth proportional to 53.31, 73.59 and 35.82 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.31 : 73.59 = 35.82 : x
  2. Step 2: Convert to fraction form
    53.31/73.59 = 35.82/x
  3. Step 3: Cross multiply
    53.31x = 73.59 × 35.82
  4. Step 4: Simplify right side
    53.31x = 2,635.99
  5. Step 5: Solve for x
    x = 2,635.99/53.31
  6. Step 6: Final answer
    x = 49.45

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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.