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Finding the Fourth Proportional to 400.35, 597.63 and 351.75

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Solution

The fourth proportional to 400.35, 597.63 and 351.75 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 597.63 = 351.75 : x
  2. Step 2: Convert to fraction form
    400.35/597.63 = 351.75/x
  3. Step 3: Cross multiply
    400.35x = 597.63 × 351.75
  4. Step 4: Simplify right side
    400.35x = 210,216.35
  5. Step 5: Solve for x
    x = 210,216.35/400.35
  6. Step 6: Final answer
    x = 525.08

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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.