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Finding the Fourth Proportional to 534.25, 800.66 and 303.05

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Solution

The fourth proportional to 534.25, 800.66 and 303.05 is: 454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 800.66 = 303.05 : x
  2. Step 2: Convert to fraction form
    534.25/800.66 = 303.05/x
  3. Step 3: Cross multiply
    534.25x = 800.66 × 303.05
  4. Step 4: Simplify right side
    534.25x = 242,642.77
  5. Step 5: Solve for x
    x = 242,642.77/534.25
  6. Step 6: Final answer
    x = 454.17

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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.