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Finding the Fourth Proportional to 141.69, 212.66 and 56.25

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Solution

The fourth proportional to 141.69, 212.66 and 56.25 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.69 : 212.66 = 56.25 : x
  2. Step 2: Convert to fraction form
    141.69/212.66 = 56.25/x
  3. Step 3: Cross multiply
    141.69x = 212.66 × 56.25
  4. Step 4: Simplify right side
    141.69x = 11,961.84
  5. Step 5: Solve for x
    x = 11,961.84/141.69
  6. Step 6: Final answer
    x = 84.42

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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.