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Finding the Fourth Proportional to 65.02, 90.08 and 63.80

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Solution

The fourth proportional to 65.02, 90.08 and 63.80 is: 88.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 90.08 = 63.80 : x
  2. Step 2: Convert to fraction form
    65.02/90.08 = 63.80/x
  3. Step 3: Cross multiply
    65.02x = 90.08 × 63.80
  4. Step 4: Simplify right side
    65.02x = 5,747.10
  5. Step 5: Solve for x
    x = 5,747.10/65.02
  6. Step 6: Final answer
    x = 88.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.