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Finding the Fourth Proportional to 374.95, 562.25 and 201.56

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Solution

The fourth proportional to 374.95, 562.25 and 201.56 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 562.25 = 201.56 : x
  2. Step 2: Convert to fraction form
    374.95/562.25 = 201.56/x
  3. Step 3: Cross multiply
    374.95x = 562.25 × 201.56
  4. Step 4: Simplify right side
    374.95x = 113,327.11
  5. Step 5: Solve for x
    x = 113,327.11/374.95
  6. Step 6: Final answer
    x = 302.25

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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.