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Finding the Fourth Proportional to 348.64, 523.05 and 143.14

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Solution

The fourth proportional to 348.64, 523.05 and 143.14 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 523.05 = 143.14 : x
  2. Step 2: Convert to fraction form
    348.64/523.05 = 143.14/x
  3. Step 3: Cross multiply
    348.64x = 523.05 × 143.14
  4. Step 4: Simplify right side
    348.64x = 74,869.38
  5. Step 5: Solve for x
    x = 74,869.38/348.64
  6. Step 6: Final answer
    x = 214.75

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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.