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Finding the Fourth Proportional to 383.14, 530.85 and 374.94

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Solution

The fourth proportional to 383.14, 530.85 and 374.94 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 530.85 = 374.94 : x
  2. Step 2: Convert to fraction form
    383.14/530.85 = 374.94/x
  3. Step 3: Cross multiply
    383.14x = 530.85 × 374.94
  4. Step 4: Simplify right side
    383.14x = 199,036.90
  5. Step 5: Solve for x
    x = 199,036.90/383.14
  6. Step 6: Final answer
    x = 519.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.