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Finding the Fourth Proportional to 214.89, 296.16 and 156.57

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Solution

The fourth proportional to 214.89, 296.16 and 156.57 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 296.16 = 156.57 : x
  2. Step 2: Convert to fraction form
    214.89/296.16 = 156.57/x
  3. Step 3: Cross multiply
    214.89x = 296.16 × 156.57
  4. Step 4: Simplify right side
    214.89x = 46,369.77
  5. Step 5: Solve for x
    x = 46,369.77/214.89
  6. Step 6: Final answer
    x = 215.78

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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.