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Finding the Fourth Proportional to 312.64, 466.29 and 274.37

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Solution

The fourth proportional to 312.64, 466.29 and 274.37 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 466.29 = 274.37 : x
  2. Step 2: Convert to fraction form
    312.64/466.29 = 274.37/x
  3. Step 3: Cross multiply
    312.64x = 466.29 × 274.37
  4. Step 4: Simplify right side
    312.64x = 127,933.66
  5. Step 5: Solve for x
    x = 127,933.66/312.64
  6. Step 6: Final answer
    x = 409.21

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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.