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Finding the Fourth Proportional to 307.80, 422.69 and 258.59

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Solution

The fourth proportional to 307.80, 422.69 and 258.59 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 422.69 = 258.59 : x
  2. Step 2: Convert to fraction form
    307.80/422.69 = 258.59/x
  3. Step 3: Cross multiply
    307.80x = 422.69 × 258.59
  4. Step 4: Simplify right side
    307.80x = 109,303.17
  5. Step 5: Solve for x
    x = 109,303.17/307.80
  6. Step 6: Final answer
    x = 355.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.