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Finding the Fourth Proportional to 305.82, 425.03 and 302.58

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Solution

The fourth proportional to 305.82, 425.03 and 302.58 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 425.03 = 302.58 : x
  2. Step 2: Convert to fraction form
    305.82/425.03 = 302.58/x
  3. Step 3: Cross multiply
    305.82x = 425.03 × 302.58
  4. Step 4: Simplify right side
    305.82x = 128,604.06
  5. Step 5: Solve for x
    x = 128,604.06/305.82
  6. Step 6: Final answer
    x = 420.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.