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Finding the Fourth Proportional to 630.05, 944.10 and 264.74

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Solution

The fourth proportional to 630.05, 944.10 and 264.74 is: 396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.05 : 944.10 = 264.74 : x
  2. Step 2: Convert to fraction form
    630.05/944.10 = 264.74/x
  3. Step 3: Cross multiply
    630.05x = 944.10 × 264.74
  4. Step 4: Simplify right side
    630.05x = 249,936.31
  5. Step 5: Solve for x
    x = 249,936.31/630.05
  6. Step 6: Final answer
    x = 396.70

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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.