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Finding the Fourth Proportional to 359.80, 536.83 and 307.87

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Solution

The fourth proportional to 359.80, 536.83 and 307.87 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 536.83 = 307.87 : x
  2. Step 2: Convert to fraction form
    359.80/536.83 = 307.87/x
  3. Step 3: Cross multiply
    359.80x = 536.83 × 307.87
  4. Step 4: Simplify right side
    359.80x = 165,273.85
  5. Step 5: Solve for x
    x = 165,273.85/359.80
  6. Step 6: Final answer
    x = 459.35

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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.