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Finding the Fourth Proportional to 400.58, 552.59 and 260.51

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Solution

The fourth proportional to 400.58, 552.59 and 260.51 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.58 : 552.59 = 260.51 : x
  2. Step 2: Convert to fraction form
    400.58/552.59 = 260.51/x
  3. Step 3: Cross multiply
    400.58x = 552.59 × 260.51
  4. Step 4: Simplify right side
    400.58x = 143,955.22
  5. Step 5: Solve for x
    x = 143,955.22/400.58
  6. Step 6: Final answer
    x = 359.37

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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.