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Finding the Fourth Proportional to 347.01, 523.08 and 342.15

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Solution

The fourth proportional to 347.01, 523.08 and 342.15 is: 515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 523.08 = 342.15 : x
  2. Step 2: Convert to fraction form
    347.01/523.08 = 342.15/x
  3. Step 3: Cross multiply
    347.01x = 523.08 × 342.15
  4. Step 4: Simplify right side
    347.01x = 178,971.82
  5. Step 5: Solve for x
    x = 178,971.82/347.01
  6. Step 6: Final answer
    x = 515.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.