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Finding the Fourth Proportional to 52.43, 79.04 and 51.81

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Solution

The fourth proportional to 52.43, 79.04 and 51.81 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 79.04 = 51.81 : x
  2. Step 2: Convert to fraction form
    52.43/79.04 = 51.81/x
  3. Step 3: Cross multiply
    52.43x = 79.04 × 51.81
  4. Step 4: Simplify right side
    52.43x = 4,094.80
  5. Step 5: Solve for x
    x = 4,094.80/52.43
  6. Step 6: Final answer
    x = 78.11

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Why These Related Problems?

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