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Finding the Fourth Proportional to 538.95, 809.16 and 279.16

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Solution

The fourth proportional to 538.95, 809.16 and 279.16 is: 419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.95 : 809.16 = 279.16 : x
  2. Step 2: Convert to fraction form
    538.95/809.16 = 279.16/x
  3. Step 3: Cross multiply
    538.95x = 809.16 × 279.16
  4. Step 4: Simplify right side
    538.95x = 225,885.11
  5. Step 5: Solve for x
    x = 225,885.11/538.95
  6. Step 6: Final answer
    x = 419.12

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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.