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Finding the Fourth Proportional to 352.58, 526.72 and 280.52

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Solution

The fourth proportional to 352.58, 526.72 and 280.52 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.58 : 526.72 = 280.52 : x
  2. Step 2: Convert to fraction form
    352.58/526.72 = 280.52/x
  3. Step 3: Cross multiply
    352.58x = 526.72 × 280.52
  4. Step 4: Simplify right side
    352.58x = 147,755.49
  5. Step 5: Solve for x
    x = 147,755.49/352.58
  6. Step 6: Final answer
    x = 419.07

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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.