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Finding the Fourth Proportional to 312.64, 466.64 and 276.58

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Solution

The fourth proportional to 312.64, 466.64 and 276.58 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 466.64 = 276.58 : x
  2. Step 2: Convert to fraction form
    312.64/466.64 = 276.58/x
  3. Step 3: Cross multiply
    312.64x = 466.64 × 276.58
  4. Step 4: Simplify right side
    312.64x = 129,063.29
  5. Step 5: Solve for x
    x = 129,063.29/312.64
  6. Step 6: Final answer
    x = 412.82

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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.