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Finding the Fourth Proportional to 405.38, 559.16 and 257.90

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Solution

The fourth proportional to 405.38, 559.16 and 257.90 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 559.16 = 257.90 : x
  2. Step 2: Convert to fraction form
    405.38/559.16 = 257.90/x
  3. Step 3: Cross multiply
    405.38x = 559.16 × 257.90
  4. Step 4: Simplify right side
    405.38x = 144,207.36
  5. Step 5: Solve for x
    x = 144,207.36/405.38
  6. Step 6: Final answer
    x = 355.73

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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.