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Finding the Fourth Proportional to 354.15, 528.66 and 328.82

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Solution

The fourth proportional to 354.15, 528.66 and 328.82 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.15 : 528.66 = 328.82 : x
  2. Step 2: Convert to fraction form
    354.15/528.66 = 328.82/x
  3. Step 3: Cross multiply
    354.15x = 528.66 × 328.82
  4. Step 4: Simplify right side
    354.15x = 173,831.34
  5. Step 5: Solve for x
    x = 173,831.34/354.15
  6. Step 6: Final answer
    x = 490.84

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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.