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Finding the Fourth Proportional to 393.58, 586.94 and 362.08

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Solution

The fourth proportional to 393.58, 586.94 and 362.08 is: 539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.58 : 586.94 = 362.08 : x
  2. Step 2: Convert to fraction form
    393.58/586.94 = 362.08/x
  3. Step 3: Cross multiply
    393.58x = 586.94 × 362.08
  4. Step 4: Simplify right side
    393.58x = 212,519.24
  5. Step 5: Solve for x
    x = 212,519.24/393.58
  6. Step 6: Final answer
    x = 539.96

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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.