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Finding the Fourth Proportional to 359.47, 536.63 and 328.69

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Solution

The fourth proportional to 359.47, 536.63 and 328.69 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.47 : 536.63 = 328.69 : x
  2. Step 2: Convert to fraction form
    359.47/536.63 = 328.69/x
  3. Step 3: Cross multiply
    359.47x = 536.63 × 328.69
  4. Step 4: Simplify right side
    359.47x = 176,384.91
  5. Step 5: Solve for x
    x = 176,384.91/359.47
  6. Step 6: Final answer
    x = 490.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.