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Finding the Fourth Proportional to 280.07, 419.53 and 259.57

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Solution

The fourth proportional to 280.07, 419.53 and 259.57 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 419.53 = 259.57 : x
  2. Step 2: Convert to fraction form
    280.07/419.53 = 259.57/x
  3. Step 3: Cross multiply
    280.07x = 419.53 × 259.57
  4. Step 4: Simplify right side
    280.07x = 108,895.99
  5. Step 5: Solve for x
    x = 108,895.99/280.07
  6. Step 6: Final answer
    x = 388.82

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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.