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Finding the Fourth Proportional to 264.84, 397.53 and 247.20

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Solution

The fourth proportional to 264.84, 397.53 and 247.20 is: 371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 397.53 = 247.20 : x
  2. Step 2: Convert to fraction form
    264.84/397.53 = 247.20/x
  3. Step 3: Cross multiply
    264.84x = 397.53 × 247.20
  4. Step 4: Simplify right side
    264.84x = 98,269.42
  5. Step 5: Solve for x
    x = 98,269.42/264.84
  6. Step 6: Final answer
    x = 371.05

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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.