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Finding the Fourth Proportional to 395.06, 591.87 and 386.42

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Solution

The fourth proportional to 395.06, 591.87 and 386.42 is: 578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 591.87 = 386.42 : x
  2. Step 2: Convert to fraction form
    395.06/591.87 = 386.42/x
  3. Step 3: Cross multiply
    395.06x = 591.87 × 386.42
  4. Step 4: Simplify right side
    395.06x = 228,710.41
  5. Step 5: Solve for x
    x = 228,710.41/395.06
  6. Step 6: Final answer
    x = 578.93

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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.