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Finding the Fourth Proportional to 237.60, 328.05 and 205.20

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Solution

The fourth proportional to 237.60, 328.05 and 205.20 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 328.05 = 205.20 : x
  2. Step 2: Convert to fraction form
    237.60/328.05 = 205.20/x
  3. Step 3: Cross multiply
    237.60x = 328.05 × 205.20
  4. Step 4: Simplify right side
    237.60x = 67,315.86
  5. Step 5: Solve for x
    x = 67,315.86/237.60
  6. Step 6: Final answer
    x = 283.32

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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.