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Finding the Fourth Proportional to 410.52, 612.48 and 369.48

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Solution

The fourth proportional to 410.52, 612.48 and 369.48 is: 551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 612.48 = 369.48 : x
  2. Step 2: Convert to fraction form
    410.52/612.48 = 369.48/x
  3. Step 3: Cross multiply
    410.52x = 612.48 × 369.48
  4. Step 4: Simplify right side
    410.52x = 226,299.11
  5. Step 5: Solve for x
    x = 226,299.11/410.52
  6. Step 6: Final answer
    x = 551.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.