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Finding the Fourth Proportional to 342.48, 513.74 and 126.06

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Solution

The fourth proportional to 342.48, 513.74 and 126.06 is: 189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 513.74 = 126.06 : x
  2. Step 2: Convert to fraction form
    342.48/513.74 = 126.06/x
  3. Step 3: Cross multiply
    342.48x = 513.74 × 126.06
  4. Step 4: Simplify right side
    342.48x = 64,762.06
  5. Step 5: Solve for x
    x = 64,762.06/342.48
  6. Step 6: Final answer
    x = 189.10

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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.