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Finding the Fourth Proportional to 237.76, 328.48 and 235.84

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Solution

The fourth proportional to 237.76, 328.48 and 235.84 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 328.48 = 235.84 : x
  2. Step 2: Convert to fraction form
    237.76/328.48 = 235.84/x
  3. Step 3: Cross multiply
    237.76x = 328.48 × 235.84
  4. Step 4: Simplify right side
    237.76x = 77,468.72
  5. Step 5: Solve for x
    x = 77,468.72/237.76
  6. Step 6: Final answer
    x = 325.83

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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.