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Finding the Fourth Proportional to 367.82, 507.30 and 312.74

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Solution

The fourth proportional to 367.82, 507.30 and 312.74 is: 431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 507.30 = 312.74 : x
  2. Step 2: Convert to fraction form
    367.82/507.30 = 312.74/x
  3. Step 3: Cross multiply
    367.82x = 507.30 × 312.74
  4. Step 4: Simplify right side
    367.82x = 158,653.00
  5. Step 5: Solve for x
    x = 158,653.00/367.82
  6. Step 6: Final answer
    x = 431.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.