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Finding the Fourth Proportional to 401.25, 603.25 and 264.57

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Solution

The fourth proportional to 401.25, 603.25 and 264.57 is: 397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 603.25 = 264.57 : x
  2. Step 2: Convert to fraction form
    401.25/603.25 = 264.57/x
  3. Step 3: Cross multiply
    401.25x = 603.25 × 264.57
  4. Step 4: Simplify right side
    401.25x = 159,598.93
  5. Step 5: Solve for x
    x = 159,598.93/401.25
  6. Step 6: Final answer
    x = 397.75

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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.