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Finding the Fourth Proportional to 53.36, 79.36 and 49.52

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Solution

The fourth proportional to 53.36, 79.36 and 49.52 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.36 : 79.36 = 49.52 : x
  2. Step 2: Convert to fraction form
    53.36/79.36 = 49.52/x
  3. Step 3: Cross multiply
    53.36x = 79.36 × 49.52
  4. Step 4: Simplify right side
    53.36x = 3,929.91
  5. Step 5: Solve for x
    x = 3,929.91/53.36
  6. Step 6: Final answer
    x = 73.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.