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Finding the Fourth Proportional to 65.02, 89.64 and 59.20

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Solution

The fourth proportional to 65.02, 89.64 and 59.20 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 89.64 = 59.20 : x
  2. Step 2: Convert to fraction form
    65.02/89.64 = 59.20/x
  3. Step 3: Cross multiply
    65.02x = 89.64 × 59.20
  4. Step 4: Simplify right side
    65.02x = 5,306.69
  5. Step 5: Solve for x
    x = 5,306.69/65.02
  6. Step 6: Final answer
    x = 81.62

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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.