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Finding the Fourth Proportional to 486.30, 670.42 and 346.37

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Solution

The fourth proportional to 486.30, 670.42 and 346.37 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 670.42 = 346.37 : x
  2. Step 2: Convert to fraction form
    486.30/670.42 = 346.37/x
  3. Step 3: Cross multiply
    486.30x = 670.42 × 346.37
  4. Step 4: Simplify right side
    486.30x = 232,211.37
  5. Step 5: Solve for x
    x = 232,211.37/486.30
  6. Step 6: Final answer
    x = 477.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.