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Finding the Fourth Proportional to 235.64, 355.10 and 218

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Solution

The fourth proportional to 235.64, 355.10 and 218 is: 328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 355.10 = 218 : x
  2. Step 2: Convert to fraction form
    235.64/355.10 = 218/x
  3. Step 3: Cross multiply
    235.64x = 355.10 × 218
  4. Step 4: Simplify right side
    235.64x = 77,411.80
  5. Step 5: Solve for x
    x = 77,411.80/235.64
  6. Step 6: Final answer
    x = 328.52

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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.