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Finding the Fourth Proportional to 395.94, 596.05 and 356.25

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Solution

The fourth proportional to 395.94, 596.05 and 356.25 is: 536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 596.05 = 356.25 : x
  2. Step 2: Convert to fraction form
    395.94/596.05 = 356.25/x
  3. Step 3: Cross multiply
    395.94x = 596.05 × 356.25
  4. Step 4: Simplify right side
    395.94x = 212,342.81
  5. Step 5: Solve for x
    x = 212,342.81/395.94
  6. Step 6: Final answer
    x = 536.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.