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Finding the Fourth Proportional to 536.52, 802.80 and 331.20

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Solution

The fourth proportional to 536.52, 802.80 and 331.20 is: 495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.52 : 802.80 = 331.20 : x
  2. Step 2: Convert to fraction form
    536.52/802.80 = 331.20/x
  3. Step 3: Cross multiply
    536.52x = 802.80 × 331.20
  4. Step 4: Simplify right side
    536.52x = 265,887.36
  5. Step 5: Solve for x
    x = 265,887.36/536.52
  6. Step 6: Final answer
    x = 495.58

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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.