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Finding the Fourth Proportional to 305.81, 424.85 and 302.94

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Solution

The fourth proportional to 305.81, 424.85 and 302.94 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 424.85 = 302.94 : x
  2. Step 2: Convert to fraction form
    305.81/424.85 = 302.94/x
  3. Step 3: Cross multiply
    305.81x = 424.85 × 302.94
  4. Step 4: Simplify right side
    305.81x = 128,702.54
  5. Step 5: Solve for x
    x = 128,702.54/305.81
  6. Step 6: Final answer
    x = 420.86

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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.