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Finding the Fourth Proportional to 315.45, 434.66 and 282.60

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Solution

The fourth proportional to 315.45, 434.66 and 282.60 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.45 : 434.66 = 282.60 : x
  2. Step 2: Convert to fraction form
    315.45/434.66 = 282.60/x
  3. Step 3: Cross multiply
    315.45x = 434.66 × 282.60
  4. Step 4: Simplify right side
    315.45x = 122,833.50
  5. Step 5: Solve for x
    x = 122,833.50/315.45
  6. Step 6: Final answer
    x = 389.39

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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.