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Finding the Fourth Proportional to 291.60, 401.76 and 266.49

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Solution

The fourth proportional to 291.60, 401.76 and 266.49 is: 367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 401.76 = 266.49 : x
  2. Step 2: Convert to fraction form
    291.60/401.76 = 266.49/x
  3. Step 3: Cross multiply
    291.60x = 401.76 × 266.49
  4. Step 4: Simplify right side
    291.60x = 107,065.02
  5. Step 5: Solve for x
    x = 107,065.02/291.60
  6. Step 6: Final answer
    x = 367.16

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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.