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Finding the Fourth Proportional to 305.30, 420.90 and 295.73

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Solution

The fourth proportional to 305.30, 420.90 and 295.73 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.30 : 420.90 = 295.73 : x
  2. Step 2: Convert to fraction form
    305.30/420.90 = 295.73/x
  3. Step 3: Cross multiply
    305.30x = 420.90 × 295.73
  4. Step 4: Simplify right side
    305.30x = 124,471.12
  5. Step 5: Solve for x
    x = 124,471.12/305.30
  6. Step 6: Final answer
    x = 407.70

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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.