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Finding the Fourth Proportional to 155.71, 215.95 and 150.22

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Solution

The fourth proportional to 155.71, 215.95 and 150.22 is: 208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.71 : 215.95 = 150.22 : x
  2. Step 2: Convert to fraction form
    155.71/215.95 = 150.22/x
  3. Step 3: Cross multiply
    155.71x = 215.95 × 150.22
  4. Step 4: Simplify right side
    155.71x = 32,440.01
  5. Step 5: Solve for x
    x = 32,440.01/155.71
  6. Step 6: Final answer
    x = 208.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.