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Finding the Fourth Proportional to 344.70, 514.04 and 341.10

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Solution

The fourth proportional to 344.70, 514.04 and 341.10 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 514.04 = 341.10 : x
  2. Step 2: Convert to fraction form
    344.70/514.04 = 341.10/x
  3. Step 3: Cross multiply
    344.70x = 514.04 × 341.10
  4. Step 4: Simplify right side
    344.70x = 175,337.34
  5. Step 5: Solve for x
    x = 175,337.34/344.70
  6. Step 6: Final answer
    x = 508.67

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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.