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Finding the Fourth Proportional to 359.56, 538.14 and 260.32

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Solution

The fourth proportional to 359.56, 538.14 and 260.32 is: 389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 538.14 = 260.32 : x
  2. Step 2: Convert to fraction form
    359.56/538.14 = 260.32/x
  3. Step 3: Cross multiply
    359.56x = 538.14 × 260.32
  4. Step 4: Simplify right side
    359.56x = 140,088.60
  5. Step 5: Solve for x
    x = 140,088.60/359.56
  6. Step 6: Final answer
    x = 389.61

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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.