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Finding the Fourth Proportional to 339.26, 511.45 and 315.77

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Solution

The fourth proportional to 339.26, 511.45 and 315.77 is: 476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 511.45 = 315.77 : x
  2. Step 2: Convert to fraction form
    339.26/511.45 = 315.77/x
  3. Step 3: Cross multiply
    339.26x = 511.45 × 315.77
  4. Step 4: Simplify right side
    339.26x = 161,497.22
  5. Step 5: Solve for x
    x = 161,497.22/339.26
  6. Step 6: Final answer
    x = 476.03

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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.