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Finding the Fourth Proportional to 434.53, 652.30 and 343.29

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Solution

The fourth proportional to 434.53, 652.30 and 343.29 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 652.30 = 343.29 : x
  2. Step 2: Convert to fraction form
    434.53/652.30 = 343.29/x
  3. Step 3: Cross multiply
    434.53x = 652.30 × 343.29
  4. Step 4: Simplify right side
    434.53x = 223,928.07
  5. Step 5: Solve for x
    x = 223,928.07/434.53
  6. Step 6: Final answer
    x = 515.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.