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Finding the Fourth Proportional to 65.98, 90.46 and 64.83

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Solution

The fourth proportional to 65.98, 90.46 and 64.83 is: 88.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.98 : 90.46 = 64.83 : x
  2. Step 2: Convert to fraction form
    65.98/90.46 = 64.83/x
  3. Step 3: Cross multiply
    65.98x = 90.46 × 64.83
  4. Step 4: Simplify right side
    65.98x = 5,864.52
  5. Step 5: Solve for x
    x = 5,864.52/65.98
  6. Step 6: Final answer
    x = 88.88

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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.