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Finding the Fourth Proportional to 420.49, 627.49 and 346.67

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Solution

The fourth proportional to 420.49, 627.49 and 346.67 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.49 : 627.49 = 346.67 : x
  2. Step 2: Convert to fraction form
    420.49/627.49 = 346.67/x
  3. Step 3: Cross multiply
    420.49x = 627.49 × 346.67
  4. Step 4: Simplify right side
    420.49x = 217,527.09
  5. Step 5: Solve for x
    x = 217,527.09/420.49
  6. Step 6: Final answer
    x = 517.32

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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.