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Finding the Fourth Proportional to 344.56, 513.15 and 342.59

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Solution

The fourth proportional to 344.56, 513.15 and 342.59 is: 510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.56 : 513.15 = 342.59 : x
  2. Step 2: Convert to fraction form
    344.56/513.15 = 342.59/x
  3. Step 3: Cross multiply
    344.56x = 513.15 × 342.59
  4. Step 4: Simplify right side
    344.56x = 175,795.78
  5. Step 5: Solve for x
    x = 175,795.78/344.56
  6. Step 6: Final answer
    x = 510.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.