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Finding the Fourth Proportional to 359.10, 493.83 and 300.06

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Solution

The fourth proportional to 359.10, 493.83 and 300.06 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 493.83 = 300.06 : x
  2. Step 2: Convert to fraction form
    359.10/493.83 = 300.06/x
  3. Step 3: Cross multiply
    359.10x = 493.83 × 300.06
  4. Step 4: Simplify right side
    359.10x = 148,178.63
  5. Step 5: Solve for x
    x = 148,178.63/359.10
  6. Step 6: Final answer
    x = 412.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.