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Finding the Fourth Proportional to 383.52, 529.20 and 243.60

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Solution

The fourth proportional to 383.52, 529.20 and 243.60 is: 336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 529.20 = 243.60 : x
  2. Step 2: Convert to fraction form
    383.52/529.20 = 243.60/x
  3. Step 3: Cross multiply
    383.52x = 529.20 × 243.60
  4. Step 4: Simplify right side
    383.52x = 128,913.12
  5. Step 5: Solve for x
    x = 128,913.12/383.52
  6. Step 6: Final answer
    x = 336.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.