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Finding the Fourth Proportional to 383.34, 525.51 and 377.64

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Solution

The fourth proportional to 383.34, 525.51 and 377.64 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 525.51 = 377.64 : x
  2. Step 2: Convert to fraction form
    383.34/525.51 = 377.64/x
  3. Step 3: Cross multiply
    383.34x = 525.51 × 377.64
  4. Step 4: Simplify right side
    383.34x = 198,453.60
  5. Step 5: Solve for x
    x = 198,453.60/383.34
  6. Step 6: Final answer
    x = 517.70

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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.