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Finding the Fourth Proportional to 401.74, 603.10 and 264.30

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Solution

The fourth proportional to 401.74, 603.10 and 264.30 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.74 : 603.10 = 264.30 : x
  2. Step 2: Convert to fraction form
    401.74/603.10 = 264.30/x
  3. Step 3: Cross multiply
    401.74x = 603.10 × 264.30
  4. Step 4: Simplify right side
    401.74x = 159,399.33
  5. Step 5: Solve for x
    x = 159,399.33/401.74
  6. Step 6: Final answer
    x = 396.77

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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.