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Finding the Fourth Proportional to 348.82, 520.75 and 294.14

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Solution

The fourth proportional to 348.82, 520.75 and 294.14 is: 439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.82 : 520.75 = 294.14 : x
  2. Step 2: Convert to fraction form
    348.82/520.75 = 294.14/x
  3. Step 3: Cross multiply
    348.82x = 520.75 × 294.14
  4. Step 4: Simplify right side
    348.82x = 153,173.41
  5. Step 5: Solve for x
    x = 153,173.41/348.82
  6. Step 6: Final answer
    x = 439.12

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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.