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Finding the Fourth Proportional to 304.45, 455.60 and 175.57

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Solution

The fourth proportional to 304.45, 455.60 and 175.57 is: 262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 455.60 = 175.57 : x
  2. Step 2: Convert to fraction form
    304.45/455.60 = 175.57/x
  3. Step 3: Cross multiply
    304.45x = 455.60 × 175.57
  4. Step 4: Simplify right side
    304.45x = 79,988.81
  5. Step 5: Solve for x
    x = 79,988.81/304.45
  6. Step 6: Final answer
    x = 262.73

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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.