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Finding the Fourth Proportional to 374.36, 513.40 and 355.64

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Solution

The fourth proportional to 374.36, 513.40 and 355.64 is: 487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.36 : 513.40 = 355.64 : x
  2. Step 2: Convert to fraction form
    374.36/513.40 = 355.64/x
  3. Step 3: Cross multiply
    374.36x = 513.40 × 355.64
  4. Step 4: Simplify right side
    374.36x = 182,585.58
  5. Step 5: Solve for x
    x = 182,585.58/374.36
  6. Step 6: Final answer
    x = 487.73

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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.