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Finding the Fourth Proportional to 347.83, 521.51 and 142.34

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Solution

The fourth proportional to 347.83, 521.51 and 142.34 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.83 : 521.51 = 142.34 : x
  2. Step 2: Convert to fraction form
    347.83/521.51 = 142.34/x
  3. Step 3: Cross multiply
    347.83x = 521.51 × 142.34
  4. Step 4: Simplify right side
    347.83x = 74,231.02
  5. Step 5: Solve for x
    x = 74,231.02/347.83
  6. Step 6: Final answer
    x = 213.41

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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.