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Finding the Fourth Proportional to 352.41, 526.14 and 317.85

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Solution

The fourth proportional to 352.41, 526.14 and 317.85 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.41 : 526.14 = 317.85 : x
  2. Step 2: Convert to fraction form
    352.41/526.14 = 317.85/x
  3. Step 3: Cross multiply
    352.41x = 526.14 × 317.85
  4. Step 4: Simplify right side
    352.41x = 167,233.60
  5. Step 5: Solve for x
    x = 167,233.60/352.41
  6. Step 6: Final answer
    x = 474.54

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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.