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Finding the Fourth Proportional to 367.68, 510.80 and 364.30

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Solution

The fourth proportional to 367.68, 510.80 and 364.30 is: 506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.68 : 510.80 = 364.30 : x
  2. Step 2: Convert to fraction form
    367.68/510.80 = 364.30/x
  3. Step 3: Cross multiply
    367.68x = 510.80 × 364.30
  4. Step 4: Simplify right side
    367.68x = 186,084.44
  5. Step 5: Solve for x
    x = 186,084.44/367.68
  6. Step 6: Final answer
    x = 506.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.