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Finding the Fourth Proportional to 305.24, 421.28 and 235.40

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Solution

The fourth proportional to 305.24, 421.28 and 235.40 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 421.28 = 235.40 : x
  2. Step 2: Convert to fraction form
    305.24/421.28 = 235.40/x
  3. Step 3: Cross multiply
    305.24x = 421.28 × 235.40
  4. Step 4: Simplify right side
    305.24x = 99,169.31
  5. Step 5: Solve for x
    x = 99,169.31/305.24
  6. Step 6: Final answer
    x = 324.89

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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.