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Finding the Fourth Proportional to 113.16, 156.22 and 86.98

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Solution

The fourth proportional to 113.16, 156.22 and 86.98 is: 120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 156.22 = 86.98 : x
  2. Step 2: Convert to fraction form
    113.16/156.22 = 86.98/x
  3. Step 3: Cross multiply
    113.16x = 156.22 × 86.98
  4. Step 4: Simplify right side
    113.16x = 13,588.02
  5. Step 5: Solve for x
    x = 13,588.02/113.16
  6. Step 6: Final answer
    x = 120.08

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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.