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Finding the Fourth Proportional to 52.83, 78.35 and 52.16

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Solution

The fourth proportional to 52.83, 78.35 and 52.16 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.83 : 78.35 = 52.16 : x
  2. Step 2: Convert to fraction form
    52.83/78.35 = 52.16/x
  3. Step 3: Cross multiply
    52.83x = 78.35 × 52.16
  4. Step 4: Simplify right side
    52.83x = 4,086.08
  5. Step 5: Solve for x
    x = 4,086.08/52.83
  6. Step 6: Final answer
    x = 77.34

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Why These Related Problems?

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