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Finding the Fourth Proportional to 355.52, 529.61 and 344.77

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Solution

The fourth proportional to 355.52, 529.61 and 344.77 is: 513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 529.61 = 344.77 : x
  2. Step 2: Convert to fraction form
    355.52/529.61 = 344.77/x
  3. Step 3: Cross multiply
    355.52x = 529.61 × 344.77
  4. Step 4: Simplify right side
    355.52x = 182,593.64
  5. Step 5: Solve for x
    x = 182,593.64/355.52
  6. Step 6: Final answer
    x = 513.60

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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.