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Finding the Fourth Proportional to 405.83, 608.96 and 259.66

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Solution

The fourth proportional to 405.83, 608.96 and 259.66 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.83 : 608.96 = 259.66 : x
  2. Step 2: Convert to fraction form
    405.83/608.96 = 259.66/x
  3. Step 3: Cross multiply
    405.83x = 608.96 × 259.66
  4. Step 4: Simplify right side
    405.83x = 158,125.11
  5. Step 5: Solve for x
    x = 158,125.11/405.83
  6. Step 6: Final answer
    x = 389.63

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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.