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Finding the Fourth Proportional to 400.40, 551.88 and 302

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Solution

The fourth proportional to 400.40, 551.88 and 302 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 551.88 = 302 : x
  2. Step 2: Convert to fraction form
    400.40/551.88 = 302/x
  3. Step 3: Cross multiply
    400.40x = 551.88 × 302
  4. Step 4: Simplify right side
    400.40x = 166,667.76
  5. Step 5: Solve for x
    x = 166,667.76/400.40
  6. Step 6: Final answer
    x = 416.25

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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.