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Finding the Fourth Proportional to 156.46, 215.90 and 86.50

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Solution

The fourth proportional to 156.46, 215.90 and 86.50 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.46 : 215.90 = 86.50 : x
  2. Step 2: Convert to fraction form
    156.46/215.90 = 86.50/x
  3. Step 3: Cross multiply
    156.46x = 215.90 × 86.50
  4. Step 4: Simplify right side
    156.46x = 18,675.35
  5. Step 5: Solve for x
    x = 18,675.35/156.46
  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.