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Finding the Fourth Proportional to 367.64, 548.88 and 312.76

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Solution

The fourth proportional to 367.64, 548.88 and 312.76 is: 466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 548.88 = 312.76 : x
  2. Step 2: Convert to fraction form
    367.64/548.88 = 312.76/x
  3. Step 3: Cross multiply
    367.64x = 548.88 × 312.76
  4. Step 4: Simplify right side
    367.64x = 171,667.71
  5. Step 5: Solve for x
    x = 171,667.71/367.64
  6. Step 6: Final answer
    x = 466.95

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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.