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Finding the Fourth Proportional to 374.19, 519.02 and 364.20

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Solution

The fourth proportional to 374.19, 519.02 and 364.20 is: 505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.19 : 519.02 = 364.20 : x
  2. Step 2: Convert to fraction form
    374.19/519.02 = 364.20/x
  3. Step 3: Cross multiply
    374.19x = 519.02 × 364.20
  4. Step 4: Simplify right side
    374.19x = 189,027.08
  5. Step 5: Solve for x
    x = 189,027.08/374.19
  6. Step 6: Final answer
    x = 505.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.