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Finding the Fourth Proportional to 493.02, 740.07 and 330.21

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Solution

The fourth proportional to 493.02, 740.07 and 330.21 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 740.07 = 330.21 : x
  2. Step 2: Convert to fraction form
    493.02/740.07 = 330.21/x
  3. Step 3: Cross multiply
    493.02x = 740.07 × 330.21
  4. Step 4: Simplify right side
    493.02x = 244,378.51
  5. Step 5: Solve for x
    x = 244,378.51/493.02
  6. Step 6: Final answer
    x = 495.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.