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Finding the Fourth Proportional to 393.53, 587.99 and 340.88

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Solution

The fourth proportional to 393.53, 587.99 and 340.88 is: 509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.53 : 587.99 = 340.88 : x
  2. Step 2: Convert to fraction form
    393.53/587.99 = 340.88/x
  3. Step 3: Cross multiply
    393.53x = 587.99 × 340.88
  4. Step 4: Simplify right side
    393.53x = 200,431.94
  5. Step 5: Solve for x
    x = 200,431.94/393.53
  6. Step 6: Final answer
    x = 509.32

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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.