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Finding the Fourth Proportional to 452.32, 623.30 and 321.10

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Solution

The fourth proportional to 452.32, 623.30 and 321.10 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 623.30 = 321.10 : x
  2. Step 2: Convert to fraction form
    452.32/623.30 = 321.10/x
  3. Step 3: Cross multiply
    452.32x = 623.30 × 321.10
  4. Step 4: Simplify right side
    452.32x = 200,141.63
  5. Step 5: Solve for x
    x = 200,141.63/452.32
  6. Step 6: Final answer
    x = 442.48

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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.