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Finding the Fourth Proportional to 295.56, 441.45 and 214.36

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Solution

The fourth proportional to 295.56, 441.45 and 214.36 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.56 : 441.45 = 214.36 : x
  2. Step 2: Convert to fraction form
    295.56/441.45 = 214.36/x
  3. Step 3: Cross multiply
    295.56x = 441.45 × 214.36
  4. Step 4: Simplify right side
    295.56x = 94,629.22
  5. Step 5: Solve for x
    x = 94,629.22/295.56
  6. Step 6: Final answer
    x = 320.17

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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.