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Finding the Fourth Proportional to 305.45, 460.16 and 301.67

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Solution

The fourth proportional to 305.45, 460.16 and 301.67 is: 454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 460.16 = 301.67 : x
  2. Step 2: Convert to fraction form
    305.45/460.16 = 301.67/x
  3. Step 3: Cross multiply
    305.45x = 460.16 × 301.67
  4. Step 4: Simplify right side
    305.45x = 138,816.47
  5. Step 5: Solve for x
    x = 138,816.47/305.45
  6. Step 6: Final answer
    x = 454.47

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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.