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Finding the Fourth Proportional to 393.12, 587.40 and 289.68

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Solution

The fourth proportional to 393.12, 587.40 and 289.68 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 587.40 = 289.68 : x
  2. Step 2: Convert to fraction form
    393.12/587.40 = 289.68/x
  3. Step 3: Cross multiply
    393.12x = 587.40 × 289.68
  4. Step 4: Simplify right side
    393.12x = 170,158.03
  5. Step 5: Solve for x
    x = 170,158.03/393.12
  6. Step 6: Final answer
    x = 432.84

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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.