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Finding the Fourth Proportional to 485.50, 670.00 and 264.45

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Solution

The fourth proportional to 485.50, 670.00 and 264.45 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.50 : 670.00 = 264.45 : x
  2. Step 2: Convert to fraction form
    485.50/670.00 = 264.45/x
  3. Step 3: Cross multiply
    485.50x = 670.00 × 264.45
  4. Step 4: Simplify right side
    485.50x = 177,179.33
  5. Step 5: Solve for x
    x = 177,179.33/485.50
  6. Step 6: Final answer
    x = 364.94

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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.