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Finding the Fourth Proportional to 534.20, 800.75 and 290.93

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Solution

The fourth proportional to 534.20, 800.75 and 290.93 is: 436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 800.75 = 290.93 : x
  2. Step 2: Convert to fraction form
    534.20/800.75 = 290.93/x
  3. Step 3: Cross multiply
    534.20x = 800.75 × 290.93
  4. Step 4: Simplify right side
    534.20x = 232,956.74
  5. Step 5: Solve for x
    x = 232,956.74/534.20
  6. Step 6: Final answer
    x = 436.09

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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.