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Finding the Fourth Proportional to 536.42, 740.19 and 303.50

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Solution

The fourth proportional to 536.42, 740.19 and 303.50 is: 418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 740.19 = 303.50 : x
  2. Step 2: Convert to fraction form
    536.42/740.19 = 303.50/x
  3. Step 3: Cross multiply
    536.42x = 740.19 × 303.50
  4. Step 4: Simplify right side
    536.42x = 224,647.67
  5. Step 5: Solve for x
    x = 224,647.67/536.42
  6. Step 6: Final answer
    x = 418.79

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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.