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Finding the Fourth Proportional to 359.57, 495.65 and 285.77

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Solution

The fourth proportional to 359.57, 495.65 and 285.77 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.57 : 495.65 = 285.77 : x
  2. Step 2: Convert to fraction form
    359.57/495.65 = 285.77/x
  3. Step 3: Cross multiply
    359.57x = 495.65 × 285.77
  4. Step 4: Simplify right side
    359.57x = 141,637.99
  5. Step 5: Solve for x
    x = 141,637.99/359.57
  6. Step 6: Final answer
    x = 393.91

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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.