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Finding the Fourth Proportional to 354.52, 528.12 and 343.77

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Solution

The fourth proportional to 354.52, 528.12 and 343.77 is: 512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.52 : 528.12 = 343.77 : x
  2. Step 2: Convert to fraction form
    354.52/528.12 = 343.77/x
  3. Step 3: Cross multiply
    354.52x = 528.12 × 343.77
  4. Step 4: Simplify right side
    354.52x = 181,551.81
  5. Step 5: Solve for x
    x = 181,551.81/354.52
  6. Step 6: Final answer
    x = 512.11

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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.