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Finding the Fourth Proportional to 350.83, 526.47 and 259.78

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Solution

The fourth proportional to 350.83, 526.47 and 259.78 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.83 : 526.47 = 259.78 : x
  2. Step 2: Convert to fraction form
    350.83/526.47 = 259.78/x
  3. Step 3: Cross multiply
    350.83x = 526.47 × 259.78
  4. Step 4: Simplify right side
    350.83x = 136,768.75
  5. Step 5: Solve for x
    x = 136,768.75/350.83
  6. Step 6: Final answer
    x = 389.84

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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.