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Finding the Fourth Proportional to 267.81, 403.61 and 242.16

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Solution

The fourth proportional to 267.81, 403.61 and 242.16 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 403.61 = 242.16 : x
  2. Step 2: Convert to fraction form
    267.81/403.61 = 242.16/x
  3. Step 3: Cross multiply
    267.81x = 403.61 × 242.16
  4. Step 4: Simplify right side
    267.81x = 97,736.99
  5. Step 5: Solve for x
    x = 97,736.99/267.81
  6. Step 6: Final answer
    x = 364.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.