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Finding the Fourth Proportional to 348.07, 521.65 and 142.40

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Solution

The fourth proportional to 348.07, 521.65 and 142.40 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.07 : 521.65 = 142.40 : x
  2. Step 2: Convert to fraction form
    348.07/521.65 = 142.40/x
  3. Step 3: Cross multiply
    348.07x = 521.65 × 142.40
  4. Step 4: Simplify right side
    348.07x = 74,283.64
  5. Step 5: Solve for x
    x = 74,283.64/348.07
  6. Step 6: Final answer
    x = 213.42

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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.