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Finding the Fourth Proportional to 400.02, 551.76 and 275.68

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Solution

The fourth proportional to 400.02, 551.76 and 275.68 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 551.76 = 275.68 : x
  2. Step 2: Convert to fraction form
    400.02/551.76 = 275.68/x
  3. Step 3: Cross multiply
    400.02x = 551.76 × 275.68
  4. Step 4: Simplify right side
    400.02x = 152,109.89
  5. Step 5: Solve for x
    x = 152,109.89/400.02
  6. Step 6: Final answer
    x = 380.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.