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Finding the Fourth Proportional to 65.05, 89.66 and 51.18

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Solution

The fourth proportional to 65.05, 89.66 and 51.18 is: 70.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.05 : 89.66 = 51.18 : x
  2. Step 2: Convert to fraction form
    65.05/89.66 = 51.18/x
  3. Step 3: Cross multiply
    65.05x = 89.66 × 51.18
  4. Step 4: Simplify right side
    65.05x = 4,588.81
  5. Step 5: Solve for x
    x = 4,588.81/65.05
  6. Step 6: Final answer
    x = 70.54

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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.