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Finding the Fourth Proportional to 374.83, 563.15 and 363.89

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Solution

The fourth proportional to 374.83, 563.15 and 363.89 is: 546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.83 : 563.15 = 363.89 : x
  2. Step 2: Convert to fraction form
    374.83/563.15 = 363.89/x
  3. Step 3: Cross multiply
    374.83x = 563.15 × 363.89
  4. Step 4: Simplify right side
    374.83x = 204,926.97
  5. Step 5: Solve for x
    x = 204,926.97/374.83
  6. Step 6: Final answer
    x = 546.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.