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Finding the Fourth Proportional to 380.64, 568.49 and 346.62

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Solution

The fourth proportional to 380.64, 568.49 and 346.62 is: 517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 568.49 = 346.62 : x
  2. Step 2: Convert to fraction form
    380.64/568.49 = 346.62/x
  3. Step 3: Cross multiply
    380.64x = 568.49 × 346.62
  4. Step 4: Simplify right side
    380.64x = 197,050.00
  5. Step 5: Solve for x
    x = 197,050.00/380.64
  6. Step 6: Final answer
    x = 517.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.