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Finding the Fourth Proportional to 305.38, 420.69 and 256.24

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Solution

The fourth proportional to 305.38, 420.69 and 256.24 is: 352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 420.69 = 256.24 : x
  2. Step 2: Convert to fraction form
    305.38/420.69 = 256.24/x
  3. Step 3: Cross multiply
    305.38x = 420.69 × 256.24
  4. Step 4: Simplify right side
    305.38x = 107,797.61
  5. Step 5: Solve for x
    x = 107,797.61/305.38
  6. Step 6: Final answer
    x = 352.99

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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.