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Finding the Fourth Proportional to 52.86, 79.12 and 45.26

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Solution

The fourth proportional to 52.86, 79.12 and 45.26 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.86 : 79.12 = 45.26 : x
  2. Step 2: Convert to fraction form
    52.86/79.12 = 45.26/x
  3. Step 3: Cross multiply
    52.86x = 79.12 × 45.26
  4. Step 4: Simplify right side
    52.86x = 3,580.97
  5. Step 5: Solve for x
    x = 3,580.97/52.86
  6. Step 6: Final answer
    x = 67.74

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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.