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Finding the Fourth Proportional to 53.52, 79.72 and 53.42

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Solution

The fourth proportional to 53.52, 79.72 and 53.42 is: 79.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 79.72 = 53.42 : x
  2. Step 2: Convert to fraction form
    53.52/79.72 = 53.42/x
  3. Step 3: Cross multiply
    53.52x = 79.72 × 53.42
  4. Step 4: Simplify right side
    53.52x = 4,258.64
  5. Step 5: Solve for x
    x = 4,258.64/53.52
  6. Step 6: Final answer
    x = 79.57

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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.