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Finding the Fourth Proportional to 307.77, 461.24 and 259.33

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Solution

The fourth proportional to 307.77, 461.24 and 259.33 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 461.24 = 259.33 : x
  2. Step 2: Convert to fraction form
    307.77/461.24 = 259.33/x
  3. Step 3: Cross multiply
    307.77x = 461.24 × 259.33
  4. Step 4: Simplify right side
    307.77x = 119,612.92
  5. Step 5: Solve for x
    x = 119,612.92/307.77
  6. Step 6: Final answer
    x = 388.64

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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.