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Finding the Fourth Proportional to 383.30, 574.40 and 246.06

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Solution

The fourth proportional to 383.30, 574.40 and 246.06 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.30 : 574.40 = 246.06 : x
  2. Step 2: Convert to fraction form
    383.30/574.40 = 246.06/x
  3. Step 3: Cross multiply
    383.30x = 574.40 × 246.06
  4. Step 4: Simplify right side
    383.30x = 141,336.86
  5. Step 5: Solve for x
    x = 141,336.86/383.30
  6. Step 6: Final answer
    x = 368.74

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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.