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Finding the Fourth Proportional to 291.12, 401.64 and 187.44

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Solution

The fourth proportional to 291.12, 401.64 and 187.44 is: 258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 401.64 = 187.44 : x
  2. Step 2: Convert to fraction form
    291.12/401.64 = 187.44/x
  3. Step 3: Cross multiply
    291.12x = 401.64 × 187.44
  4. Step 4: Simplify right side
    291.12x = 75,283.40
  5. Step 5: Solve for x
    x = 75,283.40/291.12
  6. Step 6: Final answer
    x = 258.60

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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.