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Finding the Fourth Proportional to 237.64, 355.60 and 144.76

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Solution

The fourth proportional to 237.64, 355.60 and 144.76 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 355.60 = 144.76 : x
  2. Step 2: Convert to fraction form
    237.64/355.60 = 144.76/x
  3. Step 3: Cross multiply
    237.64x = 355.60 × 144.76
  4. Step 4: Simplify right side
    237.64x = 51,476.66
  5. Step 5: Solve for x
    x = 51,476.66/237.64
  6. Step 6: Final answer
    x = 216.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.