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Finding the Fourth Proportional to 264.40, 398.11 and 248.20

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Solution

The fourth proportional to 264.40, 398.11 and 248.20 is: 373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.40 : 398.11 = 248.20 : x
  2. Step 2: Convert to fraction form
    264.40/398.11 = 248.20/x
  3. Step 3: Cross multiply
    264.40x = 398.11 × 248.20
  4. Step 4: Simplify right side
    264.40x = 98,810.90
  5. Step 5: Solve for x
    x = 98,810.90/264.40
  6. Step 6: Final answer
    x = 373.72

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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.