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Finding the Fourth Proportional to 53.25, 79.50 and 45.51

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Solution

The fourth proportional to 53.25, 79.50 and 45.51 is: 67.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.25 : 79.50 = 45.51 : x
  2. Step 2: Convert to fraction form
    53.25/79.50 = 45.51/x
  3. Step 3: Cross multiply
    53.25x = 79.50 × 45.51
  4. Step 4: Simplify right side
    53.25x = 3,618.05
  5. Step 5: Solve for x
    x = 3,618.05/53.25
  6. Step 6: Final answer
    x = 67.94

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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.