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Finding the Fourth Proportional to 52.88, 78.64 and 51.68

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Solution

The fourth proportional to 52.88, 78.64 and 51.68 is: 76.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.88 : 78.64 = 51.68 : x
  2. Step 2: Convert to fraction form
    52.88/78.64 = 51.68/x
  3. Step 3: Cross multiply
    52.88x = 78.64 × 51.68
  4. Step 4: Simplify right side
    52.88x = 4,064.12
  5. Step 5: Solve for x
    x = 4,064.12/52.88
  6. Step 6: Final answer
    x = 76.86

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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.