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Finding the Fourth Proportional to 359.95, 495.15 and 315.49

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Solution

The fourth proportional to 359.95, 495.15 and 315.49 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.95 : 495.15 = 315.49 : x
  2. Step 2: Convert to fraction form
    359.95/495.15 = 315.49/x
  3. Step 3: Cross multiply
    359.95x = 495.15 × 315.49
  4. Step 4: Simplify right side
    359.95x = 156,212.40
  5. Step 5: Solve for x
    x = 156,212.40/359.95
  6. Step 6: Final answer
    x = 433.99

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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.