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Finding the Fourth Proportional to 359.77, 495.90 and 312.38

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Solution

The fourth proportional to 359.77, 495.90 and 312.38 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.77 : 495.90 = 312.38 : x
  2. Step 2: Convert to fraction form
    359.77/495.90 = 312.38/x
  3. Step 3: Cross multiply
    359.77x = 495.90 × 312.38
  4. Step 4: Simplify right side
    359.77x = 154,909.14
  5. Step 5: Solve for x
    x = 154,909.14/359.77
  6. Step 6: Final answer
    x = 430.58

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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.