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Finding the Fourth Proportional to 419.58, 626.40 and 362.07

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Solution

The fourth proportional to 419.58, 626.40 and 362.07 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 626.40 = 362.07 : x
  2. Step 2: Convert to fraction form
    419.58/626.40 = 362.07/x
  3. Step 3: Cross multiply
    419.58x = 626.40 × 362.07
  4. Step 4: Simplify right side
    419.58x = 226,800.65
  5. Step 5: Solve for x
    x = 226,800.65/419.58
  6. Step 6: Final answer
    x = 540.54

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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.