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Finding the Fourth Proportional to 302.85, 451.25 and 289.58

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Solution

The fourth proportional to 302.85, 451.25 and 289.58 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 451.25 = 289.58 : x
  2. Step 2: Convert to fraction form
    302.85/451.25 = 289.58/x
  3. Step 3: Cross multiply
    302.85x = 451.25 × 289.58
  4. Step 4: Simplify right side
    302.85x = 130,672.98
  5. Step 5: Solve for x
    x = 130,672.98/302.85
  6. Step 6: Final answer
    x = 431.48

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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.