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Finding the Fourth Proportional to 367.77, 548.55 and 313.05

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Solution

The fourth proportional to 367.77, 548.55 and 313.05 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.77 : 548.55 = 313.05 : x
  2. Step 2: Convert to fraction form
    367.77/548.55 = 313.05/x
  3. Step 3: Cross multiply
    367.77x = 548.55 × 313.05
  4. Step 4: Simplify right side
    367.77x = 171,723.58
  5. Step 5: Solve for x
    x = 171,723.58/367.77
  6. Step 6: Final answer
    x = 466.93

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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.