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Finding the Fourth Proportional to 344.04, 514.14 and 234.72

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Solution

The fourth proportional to 344.04, 514.14 and 234.72 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.04 : 514.14 = 234.72 : x
  2. Step 2: Convert to fraction form
    344.04/514.14 = 234.72/x
  3. Step 3: Cross multiply
    344.04x = 514.14 × 234.72
  4. Step 4: Simplify right side
    344.04x = 120,678.94
  5. Step 5: Solve for x
    x = 120,678.94/344.04
  6. Step 6: Final answer
    x = 350.77

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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.