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Finding the Fourth Proportional to 95.63, 143.38 and 30.59

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Solution

The fourth proportional to 95.63, 143.38 and 30.59 is: 45.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.63 : 143.38 = 30.59 : x
  2. Step 2: Convert to fraction form
    95.63/143.38 = 30.59/x
  3. Step 3: Cross multiply
    95.63x = 143.38 × 30.59
  4. Step 4: Simplify right side
    95.63x = 4,386.28
  5. Step 5: Solve for x
    x = 4,386.28/95.63
  6. Step 6: Final answer
    x = 45.87

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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.