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Finding the Fourth Proportional to 315, 434.52 and 221.82

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Solution

The fourth proportional to 315, 434.52 and 221.82 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 434.52 = 221.82 : x
  2. Step 2: Convert to fraction form
    315/434.52 = 221.82/x
  3. Step 3: Cross multiply
    315x = 434.52 × 221.82
  4. Step 4: Simplify right side
    315x = 96,385.23
  5. Step 5: Solve for x
    x = 96,385.23/315
  6. Step 6: Final answer
    x = 305.98

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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.