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Finding the Fourth Proportional to 65.12, 98.14 and 59.24

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Solution

The fourth proportional to 65.12, 98.14 and 59.24 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 98.14 = 59.24 : x
  2. Step 2: Convert to fraction form
    65.12/98.14 = 59.24/x
  3. Step 3: Cross multiply
    65.12x = 98.14 × 59.24
  4. Step 4: Simplify right side
    65.12x = 5,813.81
  5. Step 5: Solve for x
    x = 5,813.81/65.12
  6. Step 6: Final answer
    x = 89.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.