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Finding the Fourth Proportional to 342.59, 511.52 and 339.13

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Solution

The fourth proportional to 342.59, 511.52 and 339.13 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.59 : 511.52 = 339.13 : x
  2. Step 2: Convert to fraction form
    342.59/511.52 = 339.13/x
  3. Step 3: Cross multiply
    342.59x = 511.52 × 339.13
  4. Step 4: Simplify right side
    342.59x = 173,469.22
  5. Step 5: Solve for x
    x = 173,469.22/342.59
  6. Step 6: Final answer
    x = 506.35

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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.