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Finding the Fourth Proportional to 264.84, 398.91 and 250.76

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Solution

The fourth proportional to 264.84, 398.91 and 250.76 is: 377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 398.91 = 250.76 : x
  2. Step 2: Convert to fraction form
    264.84/398.91 = 250.76/x
  3. Step 3: Cross multiply
    264.84x = 398.91 × 250.76
  4. Step 4: Simplify right side
    264.84x = 100,030.67
  5. Step 5: Solve for x
    x = 100,030.67/264.84
  6. Step 6: Final answer
    x = 377.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.