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Finding the Fourth Proportional to 158.08, 216.83 and 156.71

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Solution

The fourth proportional to 158.08, 216.83 and 156.71 is: 214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.08 : 216.83 = 156.71 : x
  2. Step 2: Convert to fraction form
    158.08/216.83 = 156.71/x
  3. Step 3: Cross multiply
    158.08x = 216.83 × 156.71
  4. Step 4: Simplify right side
    158.08x = 33,978.74
  5. Step 5: Solve for x
    x = 33,978.74/158.08
  6. Step 6: Final answer
    x = 214.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.