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Finding the Fourth Proportional to 536.02, 802.42 and 329.92

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Solution

The fourth proportional to 536.02, 802.42 and 329.92 is: 493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.02 : 802.42 = 329.92 : x
  2. Step 2: Convert to fraction form
    536.02/802.42 = 329.92/x
  3. Step 3: Cross multiply
    536.02x = 802.42 × 329.92
  4. Step 4: Simplify right side
    536.02x = 264,734.41
  5. Step 5: Solve for x
    x = 264,734.41/536.02
  6. Step 6: Final answer
    x = 493.89

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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.