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Finding the Fourth Proportional to 534.05, 736.86 and 309.95

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Solution

The fourth proportional to 534.05, 736.86 and 309.95 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.05 : 736.86 = 309.95 : x
  2. Step 2: Convert to fraction form
    534.05/736.86 = 309.95/x
  3. Step 3: Cross multiply
    534.05x = 736.86 × 309.95
  4. Step 4: Simplify right side
    534.05x = 228,389.76
  5. Step 5: Solve for x
    x = 228,389.76/534.05
  6. Step 6: Final answer
    x = 427.66

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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.