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Finding the Fourth Proportional to 358.65, 495.75 and 329.95

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Solution

The fourth proportional to 358.65, 495.75 and 329.95 is: 456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.65 : 495.75 = 329.95 : x
  2. Step 2: Convert to fraction form
    358.65/495.75 = 329.95/x
  3. Step 3: Cross multiply
    358.65x = 495.75 × 329.95
  4. Step 4: Simplify right side
    358.65x = 163,572.71
  5. Step 5: Solve for x
    x = 163,572.71/358.65
  6. Step 6: Final answer
    x = 456.08

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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.