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Finding the Fourth Proportional to 305.48, 455.50 and 301.70

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Solution

The fourth proportional to 305.48, 455.50 and 301.70 is: 449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 455.50 = 301.70 : x
  2. Step 2: Convert to fraction form
    305.48/455.50 = 301.70/x
  3. Step 3: Cross multiply
    305.48x = 455.50 × 301.70
  4. Step 4: Simplify right side
    305.48x = 137,424.35
  5. Step 5: Solve for x
    x = 137,424.35/305.48
  6. Step 6: Final answer
    x = 449.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.