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Finding the Fourth Proportional to 359.58, 538.76 and 313.41

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Solution

The fourth proportional to 359.58, 538.76 and 313.41 is: 469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 538.76 = 313.41 : x
  2. Step 2: Convert to fraction form
    359.58/538.76 = 313.41/x
  3. Step 3: Cross multiply
    359.58x = 538.76 × 313.41
  4. Step 4: Simplify right side
    359.58x = 168,853.56
  5. Step 5: Solve for x
    x = 168,853.56/359.58
  6. Step 6: Final answer
    x = 469.59

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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.