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Finding the Fourth Proportional to 430.36, 645.10 and 267.95

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Solution

The fourth proportional to 430.36, 645.10 and 267.95 is: 401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 645.10 = 267.95 : x
  2. Step 2: Convert to fraction form
    430.36/645.10 = 267.95/x
  3. Step 3: Cross multiply
    430.36x = 645.10 × 267.95
  4. Step 4: Simplify right side
    430.36x = 172,854.55
  5. Step 5: Solve for x
    x = 172,854.55/430.36
  6. Step 6: Final answer
    x = 401.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.