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Finding the Fourth Proportional to 352.29, 526.86 and 264.51

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Solution

The fourth proportional to 352.29, 526.86 and 264.51 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.29 : 526.86 = 264.51 : x
  2. Step 2: Convert to fraction form
    352.29/526.86 = 264.51/x
  3. Step 3: Cross multiply
    352.29x = 526.86 × 264.51
  4. Step 4: Simplify right side
    352.29x = 139,359.74
  5. Step 5: Solve for x
    x = 139,359.74/352.29
  6. Step 6: Final answer
    x = 395.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.