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Finding the Fourth Proportional to 359.10, 537.29 and 212.93

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Solution

The fourth proportional to 359.10, 537.29 and 212.93 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 537.29 = 212.93 : x
  2. Step 2: Convert to fraction form
    359.10/537.29 = 212.93/x
  3. Step 3: Cross multiply
    359.10x = 537.29 × 212.93
  4. Step 4: Simplify right side
    359.10x = 114,405.16
  5. Step 5: Solve for x
    x = 114,405.16/359.10
  6. Step 6: Final answer
    x = 318.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.