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Finding the Fourth Proportional to 305.20, 457.76 and 158.94

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Solution

The fourth proportional to 305.20, 457.76 and 158.94 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.20 : 457.76 = 158.94 : x
  2. Step 2: Convert to fraction form
    305.20/457.76 = 158.94/x
  3. Step 3: Cross multiply
    305.20x = 457.76 × 158.94
  4. Step 4: Simplify right side
    305.20x = 72,756.37
  5. Step 5: Solve for x
    x = 72,756.37/305.20
  6. Step 6: Final answer
    x = 238.39

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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.