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Finding the Fourth Proportional to 65.63, 90.38 and 52.49

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Solution

The fourth proportional to 65.63, 90.38 and 52.49 is: 72.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.63 : 90.38 = 52.49 : x
  2. Step 2: Convert to fraction form
    65.63/90.38 = 52.49/x
  3. Step 3: Cross multiply
    65.63x = 90.38 × 52.49
  4. Step 4: Simplify right side
    65.63x = 4,744.40
  5. Step 5: Solve for x
    x = 4,744.40/65.63
  6. Step 6: Final answer
    x = 72.29

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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.