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Finding the Fourth Proportional to 52.86, 78.79 and 49.21

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Solution

The fourth proportional to 52.86, 78.79 and 49.21 is: 73.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.86 : 78.79 = 49.21 : x
  2. Step 2: Convert to fraction form
    52.86/78.79 = 49.21/x
  3. Step 3: Cross multiply
    52.86x = 78.79 × 49.21
  4. Step 4: Simplify right side
    52.86x = 3,877.26
  5. Step 5: Solve for x
    x = 3,877.26/52.86
  6. Step 6: Final answer
    x = 73.35

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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.