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Finding the Fourth Proportional to 214.83, 296.82 and 156

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Solution

The fourth proportional to 214.83, 296.82 and 156 is: 215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 296.82 = 156 : x
  2. Step 2: Convert to fraction form
    214.83/296.82 = 156/x
  3. Step 3: Cross multiply
    214.83x = 296.82 × 156
  4. Step 4: Simplify right side
    214.83x = 46,303.92
  5. Step 5: Solve for x
    x = 46,303.92/214.83
  6. Step 6: Final answer
    x = 215.54

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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.