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Finding the Fourth Proportional to 359.68, 537.05 and 320.80

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Solution

The fourth proportional to 359.68, 537.05 and 320.80 is: 479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.68 : 537.05 = 320.80 : x
  2. Step 2: Convert to fraction form
    359.68/537.05 = 320.80/x
  3. Step 3: Cross multiply
    359.68x = 537.05 × 320.80
  4. Step 4: Simplify right side
    359.68x = 172,285.64
  5. Step 5: Solve for x
    x = 172,285.64/359.68
  6. Step 6: Final answer
    x = 479.00

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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.