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Finding the Fourth Proportional to 382.10, 569.55 and 346.10

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Solution

The fourth proportional to 382.10, 569.55 and 346.10 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 569.55 = 346.10 : x
  2. Step 2: Convert to fraction form
    382.10/569.55 = 346.10/x
  3. Step 3: Cross multiply
    382.10x = 569.55 × 346.10
  4. Step 4: Simplify right side
    382.10x = 197,119.52
  5. Step 5: Solve for x
    x = 197,119.52/382.10
  6. Step 6: Final answer
    x = 515.88

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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.