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Finding the Fourth Proportional to 359.07, 495.74 and 284.69

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Solution

The fourth proportional to 359.07, 495.74 and 284.69 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.07 : 495.74 = 284.69 : x
  2. Step 2: Convert to fraction form
    359.07/495.74 = 284.69/x
  3. Step 3: Cross multiply
    359.07x = 495.74 × 284.69
  4. Step 4: Simplify right side
    359.07x = 141,130.45
  5. Step 5: Solve for x
    x = 141,130.45/359.07
  6. Step 6: Final answer
    x = 393.04

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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.