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Finding the Fourth Proportional to 52.66, 78.94 and 28.28

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Solution

The fourth proportional to 52.66, 78.94 and 28.28 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.66 : 78.94 = 28.28 : x
  2. Step 2: Convert to fraction form
    52.66/78.94 = 28.28/x
  3. Step 3: Cross multiply
    52.66x = 78.94 × 28.28
  4. Step 4: Simplify right side
    52.66x = 2,232.66
  5. Step 5: Solve for x
    x = 2,232.66/52.66
  6. Step 6: Final answer
    x = 42.40

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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.