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Finding the Fourth Proportional to 52.90, 78.81 and 51.31

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Solution

The fourth proportional to 52.90, 78.81 and 51.31 is: 76.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 78.81 = 51.31 : x
  2. Step 2: Convert to fraction form
    52.90/78.81 = 51.31/x
  3. Step 3: Cross multiply
    52.90x = 78.81 × 51.31
  4. Step 4: Simplify right side
    52.90x = 4,043.64
  5. Step 5: Solve for x
    x = 4,043.64/52.90
  6. Step 6: Final answer
    x = 76.43

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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.