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Finding the Fourth Proportional to 347.71, 521.16 and 142.02

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Solution

The fourth proportional to 347.71, 521.16 and 142.02 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.71 : 521.16 = 142.02 : x
  2. Step 2: Convert to fraction form
    347.71/521.16 = 142.02/x
  3. Step 3: Cross multiply
    347.71x = 521.16 × 142.02
  4. Step 4: Simplify right side
    347.71x = 74,015.14
  5. Step 5: Solve for x
    x = 74,015.14/347.71
  6. Step 6: Final answer
    x = 212.86

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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.