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Finding the Fourth Proportional to 66.24, 90.18 and 65.70

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Solution

The fourth proportional to 66.24, 90.18 and 65.70 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.24 : 90.18 = 65.70 : x
  2. Step 2: Convert to fraction form
    66.24/90.18 = 65.70/x
  3. Step 3: Cross multiply
    66.24x = 90.18 × 65.70
  4. Step 4: Simplify right side
    66.24x = 5,924.83
  5. Step 5: Solve for x
    x = 5,924.83/66.24
  6. Step 6: Final answer
    x = 89.44

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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.