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Finding the Fourth Proportional to 402, 601.86 and 278.32

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Solution

The fourth proportional to 402, 601.86 and 278.32 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 601.86 = 278.32 : x
  2. Step 2: Convert to fraction form
    402/601.86 = 278.32/x
  3. Step 3: Cross multiply
    402x = 601.86 × 278.32
  4. Step 4: Simplify right side
    402x = 167,509.68
  5. Step 5: Solve for x
    x = 167,509.68/402
  6. Step 6: Final answer
    x = 416.69

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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.