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Finding the Fourth Proportional to 111.64, 154.04 and 65.64

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Solution

The fourth proportional to 111.64, 154.04 and 65.64 is: 90.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 154.04 = 65.64 : x
  2. Step 2: Convert to fraction form
    111.64/154.04 = 65.64/x
  3. Step 3: Cross multiply
    111.64x = 154.04 × 65.64
  4. Step 4: Simplify right side
    111.64x = 10,111.19
  5. Step 5: Solve for x
    x = 10,111.19/111.64
  6. Step 6: Final answer
    x = 90.57

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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.