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Finding the Fourth Proportional to 401.18, 602.16 and 279.94

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Solution

The fourth proportional to 401.18, 602.16 and 279.94 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.18 : 602.16 = 279.94 : x
  2. Step 2: Convert to fraction form
    401.18/602.16 = 279.94/x
  3. Step 3: Cross multiply
    401.18x = 602.16 × 279.94
  4. Step 4: Simplify right side
    401.18x = 168,568.67
  5. Step 5: Solve for x
    x = 168,568.67/401.18
  6. Step 6: Final answer
    x = 420.18

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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.