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Finding the Fourth Proportional to 306.16, 423.66 and 267.46

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Solution

The fourth proportional to 306.16, 423.66 and 267.46 is: 370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 423.66 = 267.46 : x
  2. Step 2: Convert to fraction form
    306.16/423.66 = 267.46/x
  3. Step 3: Cross multiply
    306.16x = 423.66 × 267.46
  4. Step 4: Simplify right side
    306.16x = 113,312.10
  5. Step 5: Solve for x
    x = 113,312.10/306.16
  6. Step 6: Final answer
    x = 370.11

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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.