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Finding the Fourth Proportional to 86.99, 130.38 and 35.60

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Solution

The fourth proportional to 86.99, 130.38 and 35.60 is: 53.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 130.38 = 35.60 : x
  2. Step 2: Convert to fraction form
    86.99/130.38 = 35.60/x
  3. Step 3: Cross multiply
    86.99x = 130.38 × 35.60
  4. Step 4: Simplify right side
    86.99x = 4,640.88
  5. Step 5: Solve for x
    x = 4,640.88/86.99
  6. Step 6: Final answer
    x = 53.35

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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.