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Finding the Fourth Proportional to 215.42, 320.56 and 214.70

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Solution

The fourth proportional to 215.42, 320.56 and 214.70 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 320.56 = 214.70 : x
  2. Step 2: Convert to fraction form
    215.42/320.56 = 214.70/x
  3. Step 3: Cross multiply
    215.42x = 320.56 × 214.70
  4. Step 4: Simplify right side
    215.42x = 68,824.23
  5. Step 5: Solve for x
    x = 68,824.23/215.42
  6. Step 6: Final answer
    x = 319.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.