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Finding the Fourth Proportional to 359.40, 494.88 and 310.20

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Solution

The fourth proportional to 359.40, 494.88 and 310.20 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 494.88 = 310.20 : x
  2. Step 2: Convert to fraction form
    359.40/494.88 = 310.20/x
  3. Step 3: Cross multiply
    359.40x = 494.88 × 310.20
  4. Step 4: Simplify right side
    359.40x = 153,511.78
  5. Step 5: Solve for x
    x = 153,511.78/359.40
  6. Step 6: Final answer
    x = 427.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.