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Finding the Fourth Proportional to 304.51, 455.94 and 286.30

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Solution

The fourth proportional to 304.51, 455.94 and 286.30 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 455.94 = 286.30 : x
  2. Step 2: Convert to fraction form
    304.51/455.94 = 286.30/x
  3. Step 3: Cross multiply
    304.51x = 455.94 × 286.30
  4. Step 4: Simplify right side
    304.51x = 130,535.62
  5. Step 5: Solve for x
    x = 130,535.62/304.51
  6. Step 6: Final answer
    x = 428.67

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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.