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Finding the Fourth Proportional to 536.04, 739.67 and 311.93

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Solution

The fourth proportional to 536.04, 739.67 and 311.93 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 739.67 = 311.93 : x
  2. Step 2: Convert to fraction form
    536.04/739.67 = 311.93/x
  3. Step 3: Cross multiply
    536.04x = 739.67 × 311.93
  4. Step 4: Simplify right side
    536.04x = 230,722.34
  5. Step 5: Solve for x
    x = 230,722.34/536.04
  6. Step 6: Final answer
    x = 430.42

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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.