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Finding the Fourth Proportional to 359.19, 536.59 and 234.78

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Solution

The fourth proportional to 359.19, 536.59 and 234.78 is: 350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 536.59 = 234.78 : x
  2. Step 2: Convert to fraction form
    359.19/536.59 = 234.78/x
  3. Step 3: Cross multiply
    359.19x = 536.59 × 234.78
  4. Step 4: Simplify right side
    359.19x = 125,980.60
  5. Step 5: Solve for x
    x = 125,980.60/359.19
  6. Step 6: Final answer
    x = 350.74

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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.