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Finding the Fourth Proportional to 383.14, 573.84 and 177.40

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Solution

The fourth proportional to 383.14, 573.84 and 177.40 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 573.84 = 177.40 : x
  2. Step 2: Convert to fraction form
    383.14/573.84 = 177.40/x
  3. Step 3: Cross multiply
    383.14x = 573.84 × 177.40
  4. Step 4: Simplify right side
    383.14x = 101,799.22
  5. Step 5: Solve for x
    x = 101,799.22/383.14
  6. Step 6: Final answer
    x = 265.70

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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.