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Finding the Fourth Proportional to 325.60, 452.35 and 322.60

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Solution

The fourth proportional to 325.60, 452.35 and 322.60 is: 448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.60 : 452.35 = 322.60 : x
  2. Step 2: Convert to fraction form
    325.60/452.35 = 322.60/x
  3. Step 3: Cross multiply
    325.60x = 452.35 × 322.60
  4. Step 4: Simplify right side
    325.60x = 145,928.11
  5. Step 5: Solve for x
    x = 145,928.11/325.60
  6. Step 6: Final answer
    x = 448.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.