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Finding the Fourth Proportional to 305.87, 421.98 and 304.49

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Solution

The fourth proportional to 305.87, 421.98 and 304.49 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 421.98 = 304.49 : x
  2. Step 2: Convert to fraction form
    305.87/421.98 = 304.49/x
  3. Step 3: Cross multiply
    305.87x = 421.98 × 304.49
  4. Step 4: Simplify right side
    305.87x = 128,488.60
  5. Step 5: Solve for x
    x = 128,488.60/305.87
  6. Step 6: Final answer
    x = 420.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.