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Finding the Fourth Proportional to 305.15, 457.64 and 160.79

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Solution

The fourth proportional to 305.15, 457.64 and 160.79 is: 241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.15 : 457.64 = 160.79 : x
  2. Step 2: Convert to fraction form
    305.15/457.64 = 160.79/x
  3. Step 3: Cross multiply
    305.15x = 457.64 × 160.79
  4. Step 4: Simplify right side
    305.15x = 73,583.13
  5. Step 5: Solve for x
    x = 73,583.13/305.15
  6. Step 6: Final answer
    x = 241.14

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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.