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Finding the Fourth Proportional to 364.85, 504.47 and 318.74

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Solution

The fourth proportional to 364.85, 504.47 and 318.74 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.85 : 504.47 = 318.74 : x
  2. Step 2: Convert to fraction form
    364.85/504.47 = 318.74/x
  3. Step 3: Cross multiply
    364.85x = 504.47 × 318.74
  4. Step 4: Simplify right side
    364.85x = 160,793.17
  5. Step 5: Solve for x
    x = 160,793.17/364.85
  6. Step 6: Final answer
    x = 440.71

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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.