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Finding the Fourth Proportional to 383.50, 575.42 and 377.35

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Solution

The fourth proportional to 383.50, 575.42 and 377.35 is: 566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.50 : 575.42 = 377.35 : x
  2. Step 2: Convert to fraction form
    383.50/575.42 = 377.35/x
  3. Step 3: Cross multiply
    383.50x = 575.42 × 377.35
  4. Step 4: Simplify right side
    383.50x = 217,134.74
  5. Step 5: Solve for x
    x = 217,134.74/383.50
  6. Step 6: Final answer
    x = 566.19

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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.