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Finding the Fourth Proportional to 237.85, 328.22 and 134.35

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Solution

The fourth proportional to 237.85, 328.22 and 134.35 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 328.22 = 134.35 : x
  2. Step 2: Convert to fraction form
    237.85/328.22 = 134.35/x
  3. Step 3: Cross multiply
    237.85x = 328.22 × 134.35
  4. Step 4: Simplify right side
    237.85x = 44,095.87
  5. Step 5: Solve for x
    x = 44,095.87/237.85
  6. Step 6: Final answer
    x = 185.40

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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.