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Finding the Fourth Proportional to 630.24, 945.40 and 265.06

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Solution

The fourth proportional to 630.24, 945.40 and 265.06 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.24 : 945.40 = 265.06 : x
  2. Step 2: Convert to fraction form
    630.24/945.40 = 265.06/x
  3. Step 3: Cross multiply
    630.24x = 945.40 × 265.06
  4. Step 4: Simplify right side
    630.24x = 250,587.72
  5. Step 5: Solve for x
    x = 250,587.72/630.24
  6. Step 6: Final answer
    x = 397.61

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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.