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Finding the Fourth Proportional to 53.58, 74 and 49.48

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Solution

The fourth proportional to 53.58, 74 and 49.48 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.58 : 74 = 49.48 : x
  2. Step 2: Convert to fraction form
    53.58/74 = 49.48/x
  3. Step 3: Cross multiply
    53.58x = 74 × 49.48
  4. Step 4: Simplify right side
    53.58x = 3,661.52
  5. Step 5: Solve for x
    x = 3,661.52/53.58
  6. Step 6: Final answer
    x = 68.34

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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.