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Finding the Fourth Proportional to 434.40, 652.08 and 343.68

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Solution

The fourth proportional to 434.40, 652.08 and 343.68 is: 515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 652.08 = 343.68 : x
  2. Step 2: Convert to fraction form
    434.40/652.08 = 343.68/x
  3. Step 3: Cross multiply
    434.40x = 652.08 × 343.68
  4. Step 4: Simplify right side
    434.40x = 224,106.85
  5. Step 5: Solve for x
    x = 224,106.85/434.40
  6. Step 6: Final answer
    x = 515.90

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