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Finding the Fourth Proportional to 494.35, 741.50 and 275.10

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Solution

The fourth proportional to 494.35, 741.50 and 275.10 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.35 : 741.50 = 275.10 : x
  2. Step 2: Convert to fraction form
    494.35/741.50 = 275.10/x
  3. Step 3: Cross multiply
    494.35x = 741.50 × 275.10
  4. Step 4: Simplify right side
    494.35x = 203,985.07
  5. Step 5: Solve for x
    x = 203,985.07/494.35
  6. Step 6: Final answer
    x = 412.63

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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.