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Finding the Fourth Proportional to 400.01, 551.73 and 260.25

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Solution

The fourth proportional to 400.01, 551.73 and 260.25 is: 358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.01 : 551.73 = 260.25 : x
  2. Step 2: Convert to fraction form
    400.01/551.73 = 260.25/x
  3. Step 3: Cross multiply
    400.01x = 551.73 × 260.25
  4. Step 4: Simplify right side
    400.01x = 143,588.28
  5. Step 5: Solve for x
    x = 143,588.28/400.01
  6. Step 6: Final answer
    x = 358.96

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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.