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Finding the Fourth Proportional to 395.80, 593.70 and 152.44

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Solution

The fourth proportional to 395.80, 593.70 and 152.44 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.80 : 593.70 = 152.44 : x
  2. Step 2: Convert to fraction form
    395.80/593.70 = 152.44/x
  3. Step 3: Cross multiply
    395.80x = 593.70 × 152.44
  4. Step 4: Simplify right side
    395.80x = 90,503.63
  5. Step 5: Solve for x
    x = 90,503.63/395.80
  6. Step 6: Final answer
    x = 228.66

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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.