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Finding the Fourth Proportional to 380.89, 568.86 and 346.87

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Solution

The fourth proportional to 380.89, 568.86 and 346.87 is: 518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 568.86 = 346.87 : x
  2. Step 2: Convert to fraction form
    380.89/568.86 = 346.87/x
  3. Step 3: Cross multiply
    380.89x = 568.86 × 346.87
  4. Step 4: Simplify right side
    380.89x = 197,319.05
  5. Step 5: Solve for x
    x = 197,319.05/380.89
  6. Step 6: Final answer
    x = 518.05

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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.