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Finding the Fourth Proportional to 430.59, 645.82 and 142

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Solution

The fourth proportional to 430.59, 645.82 and 142 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 645.82 = 142 : x
  2. Step 2: Convert to fraction form
    430.59/645.82 = 142/x
  3. Step 3: Cross multiply
    430.59x = 645.82 × 142
  4. Step 4: Simplify right side
    430.59x = 91,706.44
  5. Step 5: Solve for x
    x = 91,706.44/430.59
  6. Step 6: Final answer
    x = 212.98

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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.