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Finding the Fourth Proportional to 536.49, 804.45 and 240.07

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Solution

The fourth proportional to 536.49, 804.45 and 240.07 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 804.45 = 240.07 : x
  2. Step 2: Convert to fraction form
    536.49/804.45 = 240.07/x
  3. Step 3: Cross multiply
    536.49x = 804.45 × 240.07
  4. Step 4: Simplify right side
    536.49x = 193,124.31
  5. Step 5: Solve for x
    x = 193,124.31/536.49
  6. Step 6: Final answer
    x = 359.98

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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.