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Finding the Fourth Proportional to 237.34, 355.30 and 145.74

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Solution

The fourth proportional to 237.34, 355.30 and 145.74 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 355.30 = 145.74 : x
  2. Step 2: Convert to fraction form
    237.34/355.30 = 145.74/x
  3. Step 3: Cross multiply
    237.34x = 355.30 × 145.74
  4. Step 4: Simplify right side
    237.34x = 51,781.42
  5. Step 5: Solve for x
    x = 51,781.42/237.34
  6. Step 6: Final answer
    x = 218.17

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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.