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Finding the Fourth Proportional to 401.83, 602.97 and 264.94

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Solution

The fourth proportional to 401.83, 602.97 and 264.94 is: 397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.83 : 602.97 = 264.94 : x
  2. Step 2: Convert to fraction form
    401.83/602.97 = 264.94/x
  3. Step 3: Cross multiply
    401.83x = 602.97 × 264.94
  4. Step 4: Simplify right side
    401.83x = 159,750.87
  5. Step 5: Solve for x
    x = 159,750.87/401.83
  6. Step 6: Final answer
    x = 397.56

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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.