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Finding the Fourth Proportional to 401.15, 604.56 and 362.68

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Solution

The fourth proportional to 401.15, 604.56 and 362.68 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.15 : 604.56 = 362.68 : x
  2. Step 2: Convert to fraction form
    401.15/604.56 = 362.68/x
  3. Step 3: Cross multiply
    401.15x = 604.56 × 362.68
  4. Step 4: Simplify right side
    401.15x = 219,259.63
  5. Step 5: Solve for x
    x = 219,259.63/401.15
  6. Step 6: Final answer
    x = 546.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.