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Finding the Fourth Proportional to 359.12, 537.56 and 235.58

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Solution

The fourth proportional to 359.12, 537.56 and 235.58 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.12 : 537.56 = 235.58 : x
  2. Step 2: Convert to fraction form
    359.12/537.56 = 235.58/x
  3. Step 3: Cross multiply
    359.12x = 537.56 × 235.58
  4. Step 4: Simplify right side
    359.12x = 126,638.38
  5. Step 5: Solve for x
    x = 126,638.38/359.12
  6. Step 6: Final answer
    x = 352.64

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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.