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Finding the Fourth Proportional to 310.40, 465.57 and 79.29

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Solution

The fourth proportional to 310.40, 465.57 and 79.29 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 465.57 = 79.29 : x
  2. Step 2: Convert to fraction form
    310.40/465.57 = 79.29/x
  3. Step 3: Cross multiply
    310.40x = 465.57 × 79.29
  4. Step 4: Simplify right side
    310.40x = 36,912.98
  5. Step 5: Solve for x
    x = 36,912.98/310.40
  6. Step 6: Final answer
    x = 118.92

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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.