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Finding the Fourth Proportional to 402, 601.65 and 264.84

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Solution

The fourth proportional to 402, 601.65 and 264.84 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 601.65 = 264.84 : x
  2. Step 2: Convert to fraction form
    402/601.65 = 264.84/x
  3. Step 3: Cross multiply
    402x = 601.65 × 264.84
  4. Step 4: Simplify right side
    402x = 159,340.99
  5. Step 5: Solve for x
    x = 159,340.99/402
  6. Step 6: Final answer
    x = 396.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.