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Finding the Fourth Proportional to 65.46, 89.88 and 59.16

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Solution

The fourth proportional to 65.46, 89.88 and 59.16 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 89.88 = 59.16 : x
  2. Step 2: Convert to fraction form
    65.46/89.88 = 59.16/x
  3. Step 3: Cross multiply
    65.46x = 89.88 × 59.16
  4. Step 4: Simplify right side
    65.46x = 5,317.30
  5. Step 5: Solve for x
    x = 5,317.30/65.46
  6. Step 6: Final answer
    x = 81.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.