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Finding the Fourth Proportional to 65.64, 90.40 and 65.44

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Solution

The fourth proportional to 65.64, 90.40 and 65.44 is: 90.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 90.40 = 65.44 : x
  2. Step 2: Convert to fraction form
    65.64/90.40 = 65.44/x
  3. Step 3: Cross multiply
    65.64x = 90.40 × 65.44
  4. Step 4: Simplify right side
    65.64x = 5,915.78
  5. Step 5: Solve for x
    x = 5,915.78/65.64
  6. Step 6: Final answer
    x = 90.12

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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.