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Finding the Fourth Proportional to 425.04, 637.80 and 208.68

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Solution

The fourth proportional to 425.04, 637.80 and 208.68 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 637.80 = 208.68 : x
  2. Step 2: Convert to fraction form
    425.04/637.80 = 208.68/x
  3. Step 3: Cross multiply
    425.04x = 637.80 × 208.68
  4. Step 4: Simplify right side
    425.04x = 133,096.10
  5. Step 5: Solve for x
    x = 133,096.10/425.04
  6. Step 6: Final answer
    x = 313.14

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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.