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Finding the Fourth Proportional to 52.84, 78.15 and 52.84

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Solution

The fourth proportional to 52.84, 78.15 and 52.84 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 78.15 = 52.84 : x
  2. Step 2: Convert to fraction form
    52.84/78.15 = 52.84/x
  3. Step 3: Cross multiply
    52.84x = 78.15 × 52.84
  4. Step 4: Simplify right side
    52.84x = 4,129.74
  5. Step 5: Solve for x
    x = 4,129.74/52.84
  6. Step 6: Final answer
    x = 78.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.