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Finding the Fourth Proportional to 494.02, 740.75 and 201.45

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Solution

The fourth proportional to 494.02, 740.75 and 201.45 is: 302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 740.75 = 201.45 : x
  2. Step 2: Convert to fraction form
    494.02/740.75 = 201.45/x
  3. Step 3: Cross multiply
    494.02x = 740.75 × 201.45
  4. Step 4: Simplify right side
    494.02x = 149,221.31
  5. Step 5: Solve for x
    x = 149,221.31/494.02
  6. Step 6: Final answer
    x = 302.05

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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.