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Finding the Fourth Proportional to 302.80, 452.83 and 259.06

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Solution

The fourth proportional to 302.80, 452.83 and 259.06 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 452.83 = 259.06 : x
  2. Step 2: Convert to fraction form
    302.80/452.83 = 259.06/x
  3. Step 3: Cross multiply
    302.80x = 452.83 × 259.06
  4. Step 4: Simplify right side
    302.80x = 117,310.14
  5. Step 5: Solve for x
    x = 117,310.14/302.80
  6. Step 6: Final answer
    x = 387.42

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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.