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Finding the Fourth Proportional to 305.16, 420.96 and 292.74

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Solution

The fourth proportional to 305.16, 420.96 and 292.74 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 420.96 = 292.74 : x
  2. Step 2: Convert to fraction form
    305.16/420.96 = 292.74/x
  3. Step 3: Cross multiply
    305.16x = 420.96 × 292.74
  4. Step 4: Simplify right side
    305.16x = 123,231.83
  5. Step 5: Solve for x
    x = 123,231.83/305.16
  6. Step 6: Final answer
    x = 403.83

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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.