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Finding the Fourth Proportional to 305.97, 458.91 and 100.50

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Solution

The fourth proportional to 305.97, 458.91 and 100.50 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.97 : 458.91 = 100.50 : x
  2. Step 2: Convert to fraction form
    305.97/458.91 = 100.50/x
  3. Step 3: Cross multiply
    305.97x = 458.91 × 100.50
  4. Step 4: Simplify right side
    305.97x = 46,120.46
  5. Step 5: Solve for x
    x = 46,120.46/305.97
  6. Step 6: Final answer
    x = 150.74

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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.