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Finding the Fourth Proportional to 452.32, 675.48 and 365.76

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Solution

The fourth proportional to 452.32, 675.48 and 365.76 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 675.48 = 365.76 : x
  2. Step 2: Convert to fraction form
    452.32/675.48 = 365.76/x
  3. Step 3: Cross multiply
    452.32x = 675.48 × 365.76
  4. Step 4: Simplify right side
    452.32x = 247,063.56
  5. Step 5: Solve for x
    x = 247,063.56/452.32
  6. Step 6: Final answer
    x = 546.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.