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Finding the Fourth Proportional to 406.45, 560.75 and 259.05

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Solution

The fourth proportional to 406.45, 560.75 and 259.05 is: 357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.45 : 560.75 = 259.05 : x
  2. Step 2: Convert to fraction form
    406.45/560.75 = 259.05/x
  3. Step 3: Cross multiply
    406.45x = 560.75 × 259.05
  4. Step 4: Simplify right side
    406.45x = 145,262.29
  5. Step 5: Solve for x
    x = 145,262.29/406.45
  6. Step 6: Final answer
    x = 357.39

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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.