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Finding the Fourth Proportional to 430.38, 645.67 and 170.47

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Solution

The fourth proportional to 430.38, 645.67 and 170.47 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 645.67 = 170.47 : x
  2. Step 2: Convert to fraction form
    430.38/645.67 = 170.47/x
  3. Step 3: Cross multiply
    430.38x = 645.67 × 170.47
  4. Step 4: Simplify right side
    430.38x = 110,068.39
  5. Step 5: Solve for x
    x = 110,068.39/430.38
  6. Step 6: Final answer
    x = 255.75

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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.