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Finding the Fourth Proportional to 307.76, 423.78 and 258.44

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Solution

The fourth proportional to 307.76, 423.78 and 258.44 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 423.78 = 258.44 : x
  2. Step 2: Convert to fraction form
    307.76/423.78 = 258.44/x
  3. Step 3: Cross multiply
    307.76x = 423.78 × 258.44
  4. Step 4: Simplify right side
    307.76x = 109,521.70
  5. Step 5: Solve for x
    x = 109,521.70/307.76
  6. Step 6: Final answer
    x = 355.87

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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.