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Finding the Fourth Proportional to 305.32, 420.44 and 252.47

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Solution

The fourth proportional to 305.32, 420.44 and 252.47 is: 347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.32 : 420.44 = 252.47 : x
  2. Step 2: Convert to fraction form
    305.32/420.44 = 252.47/x
  3. Step 3: Cross multiply
    305.32x = 420.44 × 252.47
  4. Step 4: Simplify right side
    305.32x = 106,148.49
  5. Step 5: Solve for x
    x = 106,148.49/305.32
  6. Step 6: Final answer
    x = 347.66

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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.