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Finding the Fourth Proportional to 374.00, 513.71 and 363.06

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Solution

The fourth proportional to 374.00, 513.71 and 363.06 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.00 : 513.71 = 363.06 : x
  2. Step 2: Convert to fraction form
    374.00/513.71 = 363.06/x
  3. Step 3: Cross multiply
    374.00x = 513.71 × 363.06
  4. Step 4: Simplify right side
    374.00x = 186,505.74
  5. Step 5: Solve for x
    x = 186,505.74/374.00
  6. Step 6: Final answer
    x = 498.69

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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.