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Finding the Fourth Proportional to 373.26, 513.91 and 307.66

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Solution

The fourth proportional to 373.26, 513.91 and 307.66 is: 423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.26 : 513.91 = 307.66 : x
  2. Step 2: Convert to fraction form
    373.26/513.91 = 307.66/x
  3. Step 3: Cross multiply
    373.26x = 513.91 × 307.66
  4. Step 4: Simplify right side
    373.26x = 158,109.55
  5. Step 5: Solve for x
    x = 158,109.55/373.26
  6. Step 6: Final answer
    x = 423.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.