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Finding the Fourth Proportional to 420.12, 627.12 and 346.86

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Solution

The fourth proportional to 420.12, 627.12 and 346.86 is: 517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 627.12 = 346.86 : x
  2. Step 2: Convert to fraction form
    420.12/627.12 = 346.86/x
  3. Step 3: Cross multiply
    420.12x = 627.12 × 346.86
  4. Step 4: Simplify right side
    420.12x = 217,522.84
  5. Step 5: Solve for x
    x = 217,522.84/420.12
  6. Step 6: Final answer
    x = 517.76

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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.