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Finding the Fourth Proportional to 359.55, 496.73 and 307.64

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Solution

The fourth proportional to 359.55, 496.73 and 307.64 is: 425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.55 : 496.73 = 307.64 : x
  2. Step 2: Convert to fraction form
    359.55/496.73 = 307.64/x
  3. Step 3: Cross multiply
    359.55x = 496.73 × 307.64
  4. Step 4: Simplify right side
    359.55x = 152,814.02
  5. Step 5: Solve for x
    x = 152,814.02/359.55
  6. Step 6: Final answer
    x = 425.01

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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.