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Finding the Fourth Proportional to 395.80, 593.65 and 152.30

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Solution

The fourth proportional to 395.80, 593.65 and 152.30 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.80 : 593.65 = 152.30 : x
  2. Step 2: Convert to fraction form
    395.80/593.65 = 152.30/x
  3. Step 3: Cross multiply
    395.80x = 593.65 × 152.30
  4. Step 4: Simplify right side
    395.80x = 90,410.37
  5. Step 5: Solve for x
    x = 90,410.37/395.80
  6. Step 6: Final answer
    x = 228.42

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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.