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Finding the Fourth Proportional to 424.68, 636.70 and 253.80

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Solution

The fourth proportional to 424.68, 636.70 and 253.80 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.68 : 636.70 = 253.80 : x
  2. Step 2: Convert to fraction form
    424.68/636.70 = 253.80/x
  3. Step 3: Cross multiply
    424.68x = 636.70 × 253.80
  4. Step 4: Simplify right side
    424.68x = 161,594.46
  5. Step 5: Solve for x
    x = 161,594.46/424.68
  6. Step 6: Final answer
    x = 380.51

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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.