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Finding the Fourth Proportional to 352.55, 526.82 and 264.12

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Solution

The fourth proportional to 352.55, 526.82 and 264.12 is: 394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.55 : 526.82 = 264.12 : x
  2. Step 2: Convert to fraction form
    352.55/526.82 = 264.12/x
  3. Step 3: Cross multiply
    352.55x = 526.82 × 264.12
  4. Step 4: Simplify right side
    352.55x = 139,142.38
  5. Step 5: Solve for x
    x = 139,142.38/352.55
  6. Step 6: Final answer
    x = 394.68

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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.