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Finding the Fourth Proportional to 484.71, 727.47 and 211.02

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Solution

The fourth proportional to 484.71, 727.47 and 211.02 is: 316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 727.47 = 211.02 : x
  2. Step 2: Convert to fraction form
    484.71/727.47 = 211.02/x
  3. Step 3: Cross multiply
    484.71x = 727.47 × 211.02
  4. Step 4: Simplify right side
    484.71x = 153,510.72
  5. Step 5: Solve for x
    x = 153,510.72/484.71
  6. Step 6: Final answer
    x = 316.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.