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Finding the Fourth Proportional to 401.46, 599.64 and 362.88

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Solution

The fourth proportional to 401.46, 599.64 and 362.88 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 599.64 = 362.88 : x
  2. Step 2: Convert to fraction form
    401.46/599.64 = 362.88/x
  3. Step 3: Cross multiply
    401.46x = 599.64 × 362.88
  4. Step 4: Simplify right side
    401.46x = 217,597.36
  5. Step 5: Solve for x
    x = 217,597.36/401.46
  6. Step 6: Final answer
    x = 542.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.