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Finding the Fourth Proportional to 214.60, 296.02 and 156.28

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Solution

The fourth proportional to 214.60, 296.02 and 156.28 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 296.02 = 156.28 : x
  2. Step 2: Convert to fraction form
    214.60/296.02 = 156.28/x
  3. Step 3: Cross multiply
    214.60x = 296.02 × 156.28
  4. Step 4: Simplify right side
    214.60x = 46,262.01
  5. Step 5: Solve for x
    x = 46,262.01/214.60
  6. Step 6: Final answer
    x = 215.57

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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.