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Finding the Fourth Proportional to 485.65, 670.21 and 264.61

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Solution

The fourth proportional to 485.65, 670.21 and 264.61 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 670.21 = 264.61 : x
  2. Step 2: Convert to fraction form
    485.65/670.21 = 264.61/x
  3. Step 3: Cross multiply
    485.65x = 670.21 × 264.61
  4. Step 4: Simplify right side
    485.65x = 177,342.56
  5. Step 5: Solve for x
    x = 177,342.56/485.65
  6. Step 6: Final answer
    x = 365.16

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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.