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Finding the Fourth Proportional to 53.51, 79.80 and 49.46

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Solution

The fourth proportional to 53.51, 79.80 and 49.46 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.51 : 79.80 = 49.46 : x
  2. Step 2: Convert to fraction form
    53.51/79.80 = 49.46/x
  3. Step 3: Cross multiply
    53.51x = 79.80 × 49.46
  4. Step 4: Simplify right side
    53.51x = 3,946.32
  5. Step 5: Solve for x
    x = 3,946.32/53.51
  6. Step 6: Final answer
    x = 73.76

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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.