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Finding the Fourth Proportional to 393.50, 587.20 and 341.66

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Solution

The fourth proportional to 393.50, 587.20 and 341.66 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 587.20 = 341.66 : x
  2. Step 2: Convert to fraction form
    393.50/587.20 = 341.66/x
  3. Step 3: Cross multiply
    393.50x = 587.20 × 341.66
  4. Step 4: Simplify right side
    393.50x = 200,622.75
  5. Step 5: Solve for x
    x = 200,622.75/393.50
  6. Step 6: Final answer
    x = 509.84

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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.