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Finding the Fourth Proportional to 393.84, 589.68 and 312.48

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Solution

The fourth proportional to 393.84, 589.68 and 312.48 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.84 : 589.68 = 312.48 : x
  2. Step 2: Convert to fraction form
    393.84/589.68 = 312.48/x
  3. Step 3: Cross multiply
    393.84x = 589.68 × 312.48
  4. Step 4: Simplify right side
    393.84x = 184,263.21
  5. Step 5: Solve for x
    x = 184,263.21/393.84
  6. Step 6: Final answer
    x = 467.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.