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Finding the Fourth Proportional to 65.63, 98 and 54.18

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Solution

The fourth proportional to 65.63, 98 and 54.18 is: 80.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.63 : 98 = 54.18 : x
  2. Step 2: Convert to fraction form
    65.63/98 = 54.18/x
  3. Step 3: Cross multiply
    65.63x = 98 × 54.18
  4. Step 4: Simplify right side
    65.63x = 5,309.64
  5. Step 5: Solve for x
    x = 5,309.64/65.63
  6. Step 6: Final answer
    x = 80.90

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Find fourth proportional to 32.82, 49 and 27.09
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.