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Finding the Fourth Proportional to 53.06, 79.64 and 49.87

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Solution

The fourth proportional to 53.06, 79.64 and 49.87 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 79.64 = 49.87 : x
  2. Step 2: Convert to fraction form
    53.06/79.64 = 49.87/x
  3. Step 3: Cross multiply
    53.06x = 79.64 × 49.87
  4. Step 4: Simplify right side
    53.06x = 3,971.65
  5. Step 5: Solve for x
    x = 3,971.65/53.06
  6. Step 6: Final answer
    x = 74.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.