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Finding the Fourth Proportional to 331.42, 492.95 and 302.20

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Solution

The fourth proportional to 331.42, 492.95 and 302.20 is: 449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.42 : 492.95 = 302.20 : x
  2. Step 2: Convert to fraction form
    331.42/492.95 = 302.20/x
  3. Step 3: Cross multiply
    331.42x = 492.95 × 302.20
  4. Step 4: Simplify right side
    331.42x = 148,969.49
  5. Step 5: Solve for x
    x = 148,969.49/331.42
  6. Step 6: Final answer
    x = 449.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.