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Finding the Fourth Proportional to 383.12, 530.80 and 374.64

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Solution

The fourth proportional to 383.12, 530.80 and 374.64 is: 519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 530.80 = 374.64 : x
  2. Step 2: Convert to fraction form
    383.12/530.80 = 374.64/x
  3. Step 3: Cross multiply
    383.12x = 530.80 × 374.64
  4. Step 4: Simplify right side
    383.12x = 198,858.91
  5. Step 5: Solve for x
    x = 198,858.91/383.12
  6. Step 6: Final answer
    x = 519.05

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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.