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Finding the Fourth Proportional to 400.90, 597.90 and 362.02

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Solution

The fourth proportional to 400.90, 597.90 and 362.02 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 597.90 = 362.02 : x
  2. Step 2: Convert to fraction form
    400.90/597.90 = 362.02/x
  3. Step 3: Cross multiply
    400.90x = 597.90 × 362.02
  4. Step 4: Simplify right side
    400.90x = 216,451.76
  5. Step 5: Solve for x
    x = 216,451.76/400.90
  6. Step 6: Final answer
    x = 539.91

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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.