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Finding the Fourth Proportional to 302.58, 450.69 and 288.54

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Solution

The fourth proportional to 302.58, 450.69 and 288.54 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.58 : 450.69 = 288.54 : x
  2. Step 2: Convert to fraction form
    302.58/450.69 = 288.54/x
  3. Step 3: Cross multiply
    302.58x = 450.69 × 288.54
  4. Step 4: Simplify right side
    302.58x = 130,042.09
  5. Step 5: Solve for x
    x = 130,042.09/302.58
  6. Step 6: Final answer
    x = 429.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.