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Finding the Fourth Proportional to 348.56, 522.16 and 279.78

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Solution

The fourth proportional to 348.56, 522.16 and 279.78 is: 419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.56 : 522.16 = 279.78 : x
  2. Step 2: Convert to fraction form
    348.56/522.16 = 279.78/x
  3. Step 3: Cross multiply
    348.56x = 522.16 × 279.78
  4. Step 4: Simplify right side
    348.56x = 146,089.92
  5. Step 5: Solve for x
    x = 146,089.92/348.56
  6. Step 6: Final answer
    x = 419.12

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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.