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Finding the Fourth Proportional to 359.20, 540.15 and 304.57

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Solution

The fourth proportional to 359.20, 540.15 and 304.57 is: 458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 540.15 = 304.57 : x
  2. Step 2: Convert to fraction form
    359.20/540.15 = 304.57/x
  3. Step 3: Cross multiply
    359.20x = 540.15 × 304.57
  4. Step 4: Simplify right side
    359.20x = 164,513.49
  5. Step 5: Solve for x
    x = 164,513.49/359.20
  6. Step 6: Final answer
    x = 458.00

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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.