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Finding the Fourth Proportional to 359.12, 538.04 and 276.77

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Solution

The fourth proportional to 359.12, 538.04 and 276.77 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.12 : 538.04 = 276.77 : x
  2. Step 2: Convert to fraction form
    359.12/538.04 = 276.77/x
  3. Step 3: Cross multiply
    359.12x = 538.04 × 276.77
  4. Step 4: Simplify right side
    359.12x = 148,915.37
  5. Step 5: Solve for x
    x = 148,915.37/359.12
  6. Step 6: Final answer
    x = 414.66

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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.