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Finding the Fourth Proportional to 348.81, 522.76 and 192.53

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Solution

The fourth proportional to 348.81, 522.76 and 192.53 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.81 : 522.76 = 192.53 : x
  2. Step 2: Convert to fraction form
    348.81/522.76 = 192.53/x
  3. Step 3: Cross multiply
    348.81x = 522.76 × 192.53
  4. Step 4: Simplify right side
    348.81x = 100,646.98
  5. Step 5: Solve for x
    x = 100,646.98/348.81
  6. Step 6: Final answer
    x = 288.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.