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Finding the Fourth Proportional to 152.87, 210.98 and 86.49

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Solution

The fourth proportional to 152.87, 210.98 and 86.49 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 210.98 = 86.49 : x
  2. Step 2: Convert to fraction form
    152.87/210.98 = 86.49/x
  3. Step 3: Cross multiply
    152.87x = 210.98 × 86.49
  4. Step 4: Simplify right side
    152.87x = 18,247.88
  5. Step 5: Solve for x
    x = 18,247.88/152.87
  6. Step 6: Final answer
    x = 119.37

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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.