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Finding the Fourth Proportional to 347.81, 521.80 and 142.35

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Solution

The fourth proportional to 347.81, 521.80 and 142.35 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.81 : 521.80 = 142.35 : x
  2. Step 2: Convert to fraction form
    347.81/521.80 = 142.35/x
  3. Step 3: Cross multiply
    347.81x = 521.80 × 142.35
  4. Step 4: Simplify right side
    347.81x = 74,277.52
  5. Step 5: Solve for x
    x = 74,277.52/347.81
  6. Step 6: Final answer
    x = 213.56

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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.