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Finding the Fourth Proportional to 393.40, 587.36 and 354.52

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Solution

The fourth proportional to 393.40, 587.36 and 354.52 is: 529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.40 : 587.36 = 354.52 : x
  2. Step 2: Convert to fraction form
    393.40/587.36 = 354.52/x
  3. Step 3: Cross multiply
    393.40x = 587.36 × 354.52
  4. Step 4: Simplify right side
    393.40x = 208,230.87
  5. Step 5: Solve for x
    x = 208,230.87/393.40
  6. Step 6: Final answer
    x = 529.31

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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.