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Finding the Fourth Proportional to 113.51, 169.35 and 93.16

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Solution

The fourth proportional to 113.51, 169.35 and 93.16 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.51 : 169.35 = 93.16 : x
  2. Step 2: Convert to fraction form
    113.51/169.35 = 93.16/x
  3. Step 3: Cross multiply
    113.51x = 169.35 × 93.16
  4. Step 4: Simplify right side
    113.51x = 15,776.51
  5. Step 5: Solve for x
    x = 15,776.51/113.51
  6. Step 6: Final answer
    x = 138.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.