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Finding the Fourth Proportional to 630.45, 945.96 and 265.32

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Solution

The fourth proportional to 630.45, 945.96 and 265.32 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.45 : 945.96 = 265.32 : x
  2. Step 2: Convert to fraction form
    630.45/945.96 = 265.32/x
  3. Step 3: Cross multiply
    630.45x = 945.96 × 265.32
  4. Step 4: Simplify right side
    630.45x = 250,982.11
  5. Step 5: Solve for x
    x = 250,982.11/630.45
  6. Step 6: Final answer
    x = 398.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.