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Finding the Fourth Proportional to 374.10, 513.86 and 308.46

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Solution

The fourth proportional to 374.10, 513.86 and 308.46 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.10 : 513.86 = 308.46 : x
  2. Step 2: Convert to fraction form
    374.10/513.86 = 308.46/x
  3. Step 3: Cross multiply
    374.10x = 513.86 × 308.46
  4. Step 4: Simplify right side
    374.10x = 158,503.71
  5. Step 5: Solve for x
    x = 158,503.71/374.10
  6. Step 6: Final answer
    x = 423.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.