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Finding the Fourth Proportional to 391.70, 540.53 and 214.66

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Solution

The fourth proportional to 391.70, 540.53 and 214.66 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.70 : 540.53 = 214.66 : x
  2. Step 2: Convert to fraction form
    391.70/540.53 = 214.66/x
  3. Step 3: Cross multiply
    391.70x = 540.53 × 214.66
  4. Step 4: Simplify right side
    391.70x = 116,030.17
  5. Step 5: Solve for x
    x = 116,030.17/391.70
  6. Step 6: Final answer
    x = 296.22

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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.