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Finding the Fourth Proportional to 66.66, 90.83 and 65.18

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Solution

The fourth proportional to 66.66, 90.83 and 65.18 is: 88.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.66 : 90.83 = 65.18 : x
  2. Step 2: Convert to fraction form
    66.66/90.83 = 65.18/x
  3. Step 3: Cross multiply
    66.66x = 90.83 × 65.18
  4. Step 4: Simplify right side
    66.66x = 5,919.52
  5. Step 5: Solve for x
    x = 5,919.52/66.66
  6. Step 6: Final answer
    x = 88.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.