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Finding the Fourth Proportional to 430.05, 645.08 and 105.42

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Solution

The fourth proportional to 430.05, 645.08 and 105.42 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 645.08 = 105.42 : x
  2. Step 2: Convert to fraction form
    430.05/645.08 = 105.42/x
  3. Step 3: Cross multiply
    430.05x = 645.08 × 105.42
  4. Step 4: Simplify right side
    430.05x = 68,007.02
  5. Step 5: Solve for x
    x = 68,007.02/430.05
  6. Step 6: Final answer
    x = 158.14

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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.