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Finding the Fourth Proportional to 264.96, 398.91 and 242.28

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Solution

The fourth proportional to 264.96, 398.91 and 242.28 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 398.91 = 242.28 : x
  2. Step 2: Convert to fraction form
    264.96/398.91 = 242.28/x
  3. Step 3: Cross multiply
    264.96x = 398.91 × 242.28
  4. Step 4: Simplify right side
    264.96x = 96,647.91
  5. Step 5: Solve for x
    x = 96,647.91/264.96
  6. Step 6: Final answer
    x = 364.76

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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.