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Finding the Fourth Proportional to 401.35, 599.12 and 352.75

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Solution

The fourth proportional to 401.35, 599.12 and 352.75 is: 526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 599.12 = 352.75 : x
  2. Step 2: Convert to fraction form
    401.35/599.12 = 352.75/x
  3. Step 3: Cross multiply
    401.35x = 599.12 × 352.75
  4. Step 4: Simplify right side
    401.35x = 211,339.58
  5. Step 5: Solve for x
    x = 211,339.58/401.35
  6. Step 6: Final answer
    x = 526.57

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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.