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Finding the Fourth Proportional to 399, 597.48 and 362.01

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Solution

The fourth proportional to 399, 597.48 and 362.01 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399 : 597.48 = 362.01 : x
  2. Step 2: Convert to fraction form
    399/597.48 = 362.01/x
  3. Step 3: Cross multiply
    399x = 597.48 × 362.01
  4. Step 4: Simplify right side
    399x = 216,293.73
  5. Step 5: Solve for x
    x = 216,293.73/399
  6. Step 6: Final answer
    x = 542.09

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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.