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Finding the Fourth Proportional to 359.28, 495.82 and 297.08

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Solution

The fourth proportional to 359.28, 495.82 and 297.08 is: 409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 495.82 = 297.08 : x
  2. Step 2: Convert to fraction form
    359.28/495.82 = 297.08/x
  3. Step 3: Cross multiply
    359.28x = 495.82 × 297.08
  4. Step 4: Simplify right side
    359.28x = 147,298.21
  5. Step 5: Solve for x
    x = 147,298.21/359.28
  6. Step 6: Final answer
    x = 409.98

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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.