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Finding the Fourth Proportional to 393.53, 587.37 and 347.40

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Solution

The fourth proportional to 393.53, 587.37 and 347.40 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.53 : 587.37 = 347.40 : x
  2. Step 2: Convert to fraction form
    393.53/587.37 = 347.40/x
  3. Step 3: Cross multiply
    393.53x = 587.37 × 347.40
  4. Step 4: Simplify right side
    393.53x = 204,052.34
  5. Step 5: Solve for x
    x = 204,052.34/393.53
  6. Step 6: Final answer
    x = 518.52

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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.