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Finding the Fourth Proportional to 307.76, 463.46 and 259.43

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Solution

The fourth proportional to 307.76, 463.46 and 259.43 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 463.46 = 259.43 : x
  2. Step 2: Convert to fraction form
    307.76/463.46 = 259.43/x
  3. Step 3: Cross multiply
    307.76x = 463.46 × 259.43
  4. Step 4: Simplify right side
    307.76x = 120,235.43
  5. Step 5: Solve for x
    x = 120,235.43/307.76
  6. Step 6: Final answer
    x = 390.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.