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Finding the Fourth Proportional to 359.19, 535.21 and 320.89

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Solution

The fourth proportional to 359.19, 535.21 and 320.89 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 535.21 = 320.89 : x
  2. Step 2: Convert to fraction form
    359.19/535.21 = 320.89/x
  3. Step 3: Cross multiply
    359.19x = 535.21 × 320.89
  4. Step 4: Simplify right side
    359.19x = 171,743.54
  5. Step 5: Solve for x
    x = 171,743.54/359.19
  6. Step 6: Final answer
    x = 478.14

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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.