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Finding the Fourth Proportional to 251.84, 377.15 and 148.82

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Solution

The fourth proportional to 251.84, 377.15 and 148.82 is: 222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 377.15 = 148.82 : x
  2. Step 2: Convert to fraction form
    251.84/377.15 = 148.82/x
  3. Step 3: Cross multiply
    251.84x = 377.15 × 148.82
  4. Step 4: Simplify right side
    251.84x = 56,126.81
  5. Step 5: Solve for x
    x = 56,126.81/251.84
  6. Step 6: Final answer
    x = 222.86

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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.