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Finding the Fourth Proportional to 280.71, 387.59 and 259.99

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Solution

The fourth proportional to 280.71, 387.59 and 259.99 is: 358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 387.59 = 259.99 : x
  2. Step 2: Convert to fraction form
    280.71/387.59 = 259.99/x
  3. Step 3: Cross multiply
    280.71x = 387.59 × 259.99
  4. Step 4: Simplify right side
    280.71x = 100,767.26
  5. Step 5: Solve for x
    x = 100,767.26/280.71
  6. Step 6: Final answer
    x = 358.97

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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.