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Finding the Fourth Proportional to 383.58, 526.50 and 350.78

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Solution

The fourth proportional to 383.58, 526.50 and 350.78 is: 481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.58 : 526.50 = 350.78 : x
  2. Step 2: Convert to fraction form
    383.58/526.50 = 350.78/x
  3. Step 3: Cross multiply
    383.58x = 526.50 × 350.78
  4. Step 4: Simplify right side
    383.58x = 184,683.04
  5. Step 5: Solve for x
    x = 184,683.04/383.58
  6. Step 6: Final answer
    x = 481.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.