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Finding the Fourth Proportional to 400.66, 552.75 and 313.60

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Solution

The fourth proportional to 400.66, 552.75 and 313.60 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.66 : 552.75 = 313.60 : x
  2. Step 2: Convert to fraction form
    400.66/552.75 = 313.60/x
  3. Step 3: Cross multiply
    400.66x = 552.75 × 313.60
  4. Step 4: Simplify right side
    400.66x = 173,342.40
  5. Step 5: Solve for x
    x = 173,342.40/400.66
  6. Step 6: Final answer
    x = 432.64

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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.