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Finding the Fourth Proportional to 95.50, 143.35 and 52.20

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Solution

The fourth proportional to 95.50, 143.35 and 52.20 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 143.35 = 52.20 : x
  2. Step 2: Convert to fraction form
    95.50/143.35 = 52.20/x
  3. Step 3: Cross multiply
    95.50x = 143.35 × 52.20
  4. Step 4: Simplify right side
    95.50x = 7,482.87
  5. Step 5: Solve for x
    x = 7,482.87/95.50
  6. Step 6: Final answer
    x = 78.35

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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.