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Finding the Fourth Proportional to 405.43, 559.13 and 257.81

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Solution

The fourth proportional to 405.43, 559.13 and 257.81 is: 355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.43 : 559.13 = 257.81 : x
  2. Step 2: Convert to fraction form
    405.43/559.13 = 257.81/x
  3. Step 3: Cross multiply
    405.43x = 559.13 × 257.81
  4. Step 4: Simplify right side
    405.43x = 144,148.28
  5. Step 5: Solve for x
    x = 144,148.28/405.43
  6. Step 6: Final answer
    x = 355.54

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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.