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Finding the Fourth Proportional to 419.74, 626.73 and 341.82

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Solution

The fourth proportional to 419.74, 626.73 and 341.82 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 626.73 = 341.82 : x
  2. Step 2: Convert to fraction form
    419.74/626.73 = 341.82/x
  3. Step 3: Cross multiply
    419.74x = 626.73 × 341.82
  4. Step 4: Simplify right side
    419.74x = 214,228.85
  5. Step 5: Solve for x
    x = 214,228.85/419.74
  6. Step 6: Final answer
    x = 510.38

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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.