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Finding the Fourth Proportional to 52.75, 79.58 and 49.76

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Solution

The fourth proportional to 52.75, 79.58 and 49.76 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.75 : 79.58 = 49.76 : x
  2. Step 2: Convert to fraction form
    52.75/79.58 = 49.76/x
  3. Step 3: Cross multiply
    52.75x = 79.58 × 49.76
  4. Step 4: Simplify right side
    52.75x = 3,960.37
  5. Step 5: Solve for x
    x = 3,960.37/52.75
  6. Step 6: Final answer
    x = 75.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.