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Finding the Fourth Proportional to 359.75, 492.18 and 358.21

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Solution

The fourth proportional to 359.75, 492.18 and 358.21 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.75 : 492.18 = 358.21 : x
  2. Step 2: Convert to fraction form
    359.75/492.18 = 358.21/x
  3. Step 3: Cross multiply
    359.75x = 492.18 × 358.21
  4. Step 4: Simplify right side
    359.75x = 176,303.80
  5. Step 5: Solve for x
    x = 176,303.80/359.75
  6. Step 6: Final answer
    x = 490.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.