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Finding the Fourth Proportional to 52.22, 78.64 and 49.70

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Solution

The fourth proportional to 52.22, 78.64 and 49.70 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 78.64 = 49.70 : x
  2. Step 2: Convert to fraction form
    52.22/78.64 = 49.70/x
  3. Step 3: Cross multiply
    52.22x = 78.64 × 49.70
  4. Step 4: Simplify right side
    52.22x = 3,908.08
  5. Step 5: Solve for x
    x = 3,908.08/52.22
  6. Step 6: Final answer
    x = 74.85

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