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Finding the Fourth Proportional to 359.96, 537.63 and 311.36

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Solution

The fourth proportional to 359.96, 537.63 and 311.36 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 537.63 = 311.36 : x
  2. Step 2: Convert to fraction form
    359.96/537.63 = 311.36/x
  3. Step 3: Cross multiply
    359.96x = 537.63 × 311.36
  4. Step 4: Simplify right side
    359.96x = 167,393.79
  5. Step 5: Solve for x
    x = 167,393.79/359.96
  6. Step 6: Final answer
    x = 465.04

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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.