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Finding the Fourth Proportional to 236.10, 355.77 and 214.50

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Solution

The fourth proportional to 236.10, 355.77 and 214.50 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 355.77 = 214.50 : x
  2. Step 2: Convert to fraction form
    236.10/355.77 = 214.50/x
  3. Step 3: Cross multiply
    236.10x = 355.77 × 214.50
  4. Step 4: Simplify right side
    236.10x = 76,312.67
  5. Step 5: Solve for x
    x = 76,312.67/236.10
  6. Step 6: Final answer
    x = 323.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.