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Finding the Fourth Proportional to 307.98, 462 and 102.55

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Solution

The fourth proportional to 307.98, 462 and 102.55 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 462 = 102.55 : x
  2. Step 2: Convert to fraction form
    307.98/462 = 102.55/x
  3. Step 3: Cross multiply
    307.98x = 462 × 102.55
  4. Step 4: Simplify right side
    307.98x = 47,378.10
  5. Step 5: Solve for x
    x = 47,378.10/307.98
  6. Step 6: Final answer
    x = 153.83

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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.