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Finding the Fourth Proportional to 534.01, 800.53 and 209.15

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Solution

The fourth proportional to 534.01, 800.53 and 209.15 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.01 : 800.53 = 209.15 : x
  2. Step 2: Convert to fraction form
    534.01/800.53 = 209.15/x
  3. Step 3: Cross multiply
    534.01x = 800.53 × 209.15
  4. Step 4: Simplify right side
    534.01x = 167,430.85
  5. Step 5: Solve for x
    x = 167,430.85/534.01
  6. Step 6: Final answer
    x = 313.54

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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.