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Finding the Fourth Proportional to 342.86, 513.81 and 297.09

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Solution

The fourth proportional to 342.86, 513.81 and 297.09 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 513.81 = 297.09 : x
  2. Step 2: Convert to fraction form
    342.86/513.81 = 297.09/x
  3. Step 3: Cross multiply
    342.86x = 513.81 × 297.09
  4. Step 4: Simplify right side
    342.86x = 152,647.81
  5. Step 5: Solve for x
    x = 152,647.81/342.86
  6. Step 6: Final answer
    x = 445.23

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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.