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Finding the Fourth Proportional to 264.76, 397.20 and 183.40

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Solution

The fourth proportional to 264.76, 397.20 and 183.40 is: 275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 397.20 = 183.40 : x
  2. Step 2: Convert to fraction form
    264.76/397.20 = 183.40/x
  3. Step 3: Cross multiply
    264.76x = 397.20 × 183.40
  4. Step 4: Simplify right side
    264.76x = 72,846.48
  5. Step 5: Solve for x
    x = 72,846.48/264.76
  6. Step 6: Final answer
    x = 275.14

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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.