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Finding the Fourth Proportional to 393.68, 587.44 and 352.78

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Solution

The fourth proportional to 393.68, 587.44 and 352.78 is: 526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 587.44 = 352.78 : x
  2. Step 2: Convert to fraction form
    393.68/587.44 = 352.78/x
  3. Step 3: Cross multiply
    393.68x = 587.44 × 352.78
  4. Step 4: Simplify right side
    393.68x = 207,237.08
  5. Step 5: Solve for x
    x = 207,237.08/393.68
  6. Step 6: Final answer
    x = 526.41

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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.