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Finding the Fourth Proportional to 312.26, 466.05 and 276.21

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Solution

The fourth proportional to 312.26, 466.05 and 276.21 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 466.05 = 276.21 : x
  2. Step 2: Convert to fraction form
    312.26/466.05 = 276.21/x
  3. Step 3: Cross multiply
    312.26x = 466.05 × 276.21
  4. Step 4: Simplify right side
    312.26x = 128,728.71
  5. Step 5: Solve for x
    x = 128,728.71/312.26
  6. Step 6: Final answer
    x = 412.26

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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.