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Finding the Fourth Proportional to 360.82, 538.79 and 309.40

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Solution

The fourth proportional to 360.82, 538.79 and 309.40 is: 462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 538.79 = 309.40 : x
  2. Step 2: Convert to fraction form
    360.82/538.79 = 309.40/x
  3. Step 3: Cross multiply
    360.82x = 538.79 × 309.40
  4. Step 4: Simplify right side
    360.82x = 166,701.63
  5. Step 5: Solve for x
    x = 166,701.63/360.82
  6. Step 6: Final answer
    x = 462.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.