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Finding the Fourth Proportional to 237.60, 328.64 and 211.77

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Solution

The fourth proportional to 237.60, 328.64 and 211.77 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 328.64 = 211.77 : x
  2. Step 2: Convert to fraction form
    237.60/328.64 = 211.77/x
  3. Step 3: Cross multiply
    237.60x = 328.64 × 211.77
  4. Step 4: Simplify right side
    237.60x = 69,595.03
  5. Step 5: Solve for x
    x = 69,595.03/237.60
  6. Step 6: Final answer
    x = 292.91

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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.