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Finding the Fourth Proportional to 461.40, 637.02 and 286.80

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Solution

The fourth proportional to 461.40, 637.02 and 286.80 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 637.02 = 286.80 : x
  2. Step 2: Convert to fraction form
    461.40/637.02 = 286.80/x
  3. Step 3: Cross multiply
    461.40x = 637.02 × 286.80
  4. Step 4: Simplify right side
    461.40x = 182,697.34
  5. Step 5: Solve for x
    x = 182,697.34/461.40
  6. Step 6: Final answer
    x = 395.96

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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.