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Finding the Fourth Proportional to 315.16, 434.73 and 221.77

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Solution

The fourth proportional to 315.16, 434.73 and 221.77 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 434.73 = 221.77 : x
  2. Step 2: Convert to fraction form
    315.16/434.73 = 221.77/x
  3. Step 3: Cross multiply
    315.16x = 434.73 × 221.77
  4. Step 4: Simplify right side
    315.16x = 96,410.07
  5. Step 5: Solve for x
    x = 96,410.07/315.16
  6. Step 6: Final answer
    x = 305.91

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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.