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Finding the Fourth Proportional to 362.34, 541.42 and 259.07

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Solution

The fourth proportional to 362.34, 541.42 and 259.07 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 541.42 = 259.07 : x
  2. Step 2: Convert to fraction form
    362.34/541.42 = 259.07/x
  3. Step 3: Cross multiply
    362.34x = 541.42 × 259.07
  4. Step 4: Simplify right side
    362.34x = 140,262.32
  5. Step 5: Solve for x
    x = 140,262.32/362.34
  6. Step 6: Final answer
    x = 387.10

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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.