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Finding the Fourth Proportional to 95.84, 143.00 and 90

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Solution

The fourth proportional to 95.84, 143.00 and 90 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.84 : 143.00 = 90 : x
  2. Step 2: Convert to fraction form
    95.84/143.00 = 90/x
  3. Step 3: Cross multiply
    95.84x = 143.00 × 90
  4. Step 4: Simplify right side
    95.84x = 12,869.55
  5. Step 5: Solve for x
    x = 12,869.55/95.84
  6. Step 6: Final answer
    x = 134.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.