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Finding the Fourth Proportional to 359.61, 493.86 and 334.23

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Solution

The fourth proportional to 359.61, 493.86 and 334.23 is: 459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.61 : 493.86 = 334.23 : x
  2. Step 2: Convert to fraction form
    359.61/493.86 = 334.23/x
  3. Step 3: Cross multiply
    359.61x = 493.86 × 334.23
  4. Step 4: Simplify right side
    359.61x = 165,062.83
  5. Step 5: Solve for x
    x = 165,062.83/359.61
  6. Step 6: Final answer
    x = 459.01

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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.