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Finding the Fourth Proportional to 312.42, 464.54 and 299.46

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Solution

The fourth proportional to 312.42, 464.54 and 299.46 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 464.54 = 299.46 : x
  2. Step 2: Convert to fraction form
    312.42/464.54 = 299.46/x
  3. Step 3: Cross multiply
    312.42x = 464.54 × 299.46
  4. Step 4: Simplify right side
    312.42x = 139,111.15
  5. Step 5: Solve for x
    x = 139,111.15/312.42
  6. Step 6: Final answer
    x = 445.27

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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.