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Finding the Fourth Proportional to 425.30, 638.61 and 264.01

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Solution

The fourth proportional to 425.30, 638.61 and 264.01 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 638.61 = 264.01 : x
  2. Step 2: Convert to fraction form
    425.30/638.61 = 264.01/x
  3. Step 3: Cross multiply
    425.30x = 638.61 × 264.01
  4. Step 4: Simplify right side
    425.30x = 168,597.83
  5. Step 5: Solve for x
    x = 168,597.83/425.30
  6. Step 6: Final answer
    x = 396.42

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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.