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Finding the Fourth Proportional to 305.16, 457.89 and 160.89

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Solution

The fourth proportional to 305.16, 457.89 and 160.89 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 457.89 = 160.89 : x
  2. Step 2: Convert to fraction form
    305.16/457.89 = 160.89/x
  3. Step 3: Cross multiply
    305.16x = 457.89 × 160.89
  4. Step 4: Simplify right side
    305.16x = 73,669.92
  5. Step 5: Solve for x
    x = 73,669.92/305.16
  6. Step 6: Final answer
    x = 241.41

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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.