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Finding the Fourth Proportional to 362.16, 541.80 and 259.65

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Solution

The fourth proportional to 362.16, 541.80 and 259.65 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 541.80 = 259.65 : x
  2. Step 2: Convert to fraction form
    362.16/541.80 = 259.65/x
  3. Step 3: Cross multiply
    362.16x = 541.80 × 259.65
  4. Step 4: Simplify right side
    362.16x = 140,678.37
  5. Step 5: Solve for x
    x = 140,678.37/362.16
  6. Step 6: Final answer
    x = 388.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.