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Finding the Fourth Proportional to 95.00, 130.90 and 65.50

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Solution

The fourth proportional to 95.00, 130.90 and 65.50 is: 90.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.00 : 130.90 = 65.50 : x
  2. Step 2: Convert to fraction form
    95.00/130.90 = 65.50/x
  3. Step 3: Cross multiply
    95.00x = 130.90 × 65.50
  4. Step 4: Simplify right side
    95.00x = 8,573.58
  5. Step 5: Solve for x
    x = 8,573.58/95.00
  6. Step 6: Final answer
    x = 90.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.