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Finding the Fourth Proportional to 73.18, 110.29 and 59.82

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Solution

The fourth proportional to 73.18, 110.29 and 59.82 is: 90.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.18 : 110.29 = 59.82 : x
  2. Step 2: Convert to fraction form
    73.18/110.29 = 59.82/x
  3. Step 3: Cross multiply
    73.18x = 110.29 × 59.82
  4. Step 4: Simplify right side
    73.18x = 6,597.55
  5. Step 5: Solve for x
    x = 6,597.55/73.18
  6. Step 6: Final answer
    x = 90.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.