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Finding the Fourth Proportional to 95.40, 143.16 and 56.98

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Solution

The fourth proportional to 95.40, 143.16 and 56.98 is: 85.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.40 : 143.16 = 56.98 : x
  2. Step 2: Convert to fraction form
    95.40/143.16 = 56.98/x
  3. Step 3: Cross multiply
    95.40x = 143.16 × 56.98
  4. Step 4: Simplify right side
    95.40x = 8,156.26
  5. Step 5: Solve for x
    x = 8,156.26/95.40
  6. Step 6: Final answer
    x = 85.50

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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.