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Finding the Fourth Proportional to 359.94, 494.69 and 318.23

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Solution

The fourth proportional to 359.94, 494.69 and 318.23 is: 437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.94 : 494.69 = 318.23 : x
  2. Step 2: Convert to fraction form
    359.94/494.69 = 318.23/x
  3. Step 3: Cross multiply
    359.94x = 494.69 × 318.23
  4. Step 4: Simplify right side
    359.94x = 157,421.13
  5. Step 5: Solve for x
    x = 157,421.13/359.94
  6. Step 6: Final answer
    x = 437.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.