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Finding the Fourth Proportional to 313.75, 434.99 and 295.12

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Solution

The fourth proportional to 313.75, 434.99 and 295.12 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 434.99 = 295.12 : x
  2. Step 2: Convert to fraction form
    313.75/434.99 = 295.12/x
  3. Step 3: Cross multiply
    313.75x = 434.99 × 295.12
  4. Step 4: Simplify right side
    313.75x = 128,374.25
  5. Step 5: Solve for x
    x = 128,374.25/313.75
  6. Step 6: Final answer
    x = 409.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.