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Finding the Fourth Proportional to 291.25, 401.70 and 217.45

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Solution

The fourth proportional to 291.25, 401.70 and 217.45 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.25 : 401.70 = 217.45 : x
  2. Step 2: Convert to fraction form
    291.25/401.70 = 217.45/x
  3. Step 3: Cross multiply
    291.25x = 401.70 × 217.45
  4. Step 4: Simplify right side
    291.25x = 87,349.67
  5. Step 5: Solve for x
    x = 87,349.67/291.25
  6. Step 6: Final answer
    x = 299.91

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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.