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Finding the Fourth Proportional to 350.83, 525.70 and 259.10

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Solution

The fourth proportional to 350.83, 525.70 and 259.10 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.83 : 525.70 = 259.10 : x
  2. Step 2: Convert to fraction form
    350.83/525.70 = 259.10/x
  3. Step 3: Cross multiply
    350.83x = 525.70 × 259.10
  4. Step 4: Simplify right side
    350.83x = 136,208.87
  5. Step 5: Solve for x
    x = 136,208.87/350.83
  6. Step 6: Final answer
    x = 388.25

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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.