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Finding the Fourth Proportional to 291, 400.32 and 258.18

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Solution

The fourth proportional to 291, 400.32 and 258.18 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291 : 400.32 = 258.18 : x
  2. Step 2: Convert to fraction form
    291/400.32 = 258.18/x
  3. Step 3: Cross multiply
    291x = 400.32 × 258.18
  4. Step 4: Simplify right side
    291x = 103,354.62
  5. Step 5: Solve for x
    x = 103,354.62/291
  6. Step 6: Final answer
    x = 355.17

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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.