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Finding the Fourth Proportional to 235.88, 355.36 and 215.84

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Solution

The fourth proportional to 235.88, 355.36 and 215.84 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.88 : 355.36 = 215.84 : x
  2. Step 2: Convert to fraction form
    235.88/355.36 = 215.84/x
  3. Step 3: Cross multiply
    235.88x = 355.36 × 215.84
  4. Step 4: Simplify right side
    235.88x = 76,700.90
  5. Step 5: Solve for x
    x = 76,700.90/235.88
  6. Step 6: Final answer
    x = 325.17

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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.