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Finding the Fourth Proportional to 395.16, 593.64 and 280.32

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Solution

The fourth proportional to 395.16, 593.64 and 280.32 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 593.64 = 280.32 : x
  2. Step 2: Convert to fraction form
    395.16/593.64 = 280.32/x
  3. Step 3: Cross multiply
    395.16x = 593.64 × 280.32
  4. Step 4: Simplify right side
    395.16x = 166,409.16
  5. Step 5: Solve for x
    x = 166,409.16/395.16
  6. Step 6: Final answer
    x = 421.12

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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.