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Finding the Fourth Proportional to 536.45, 740.66 and 350.24

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Solution

The fourth proportional to 536.45, 740.66 and 350.24 is: 483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 740.66 = 350.24 : x
  2. Step 2: Convert to fraction form
    536.45/740.66 = 350.24/x
  3. Step 3: Cross multiply
    536.45x = 740.66 × 350.24
  4. Step 4: Simplify right side
    536.45x = 259,403.30
  5. Step 5: Solve for x
    x = 259,403.30/536.45
  6. Step 6: Final answer
    x = 483.56

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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.