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Finding the Fourth Proportional to 214.91, 320.63 and 195.42

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Solution

The fourth proportional to 214.91, 320.63 and 195.42 is: 291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 320.63 = 195.42 : x
  2. Step 2: Convert to fraction form
    214.91/320.63 = 195.42/x
  3. Step 3: Cross multiply
    214.91x = 320.63 × 195.42
  4. Step 4: Simplify right side
    214.91x = 62,657.51
  5. Step 5: Solve for x
    x = 62,657.51/214.91
  6. Step 6: Final answer
    x = 291.55

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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.