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Finding the Fourth Proportional to 65.98, 91.65 and 64.06

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Solution

The fourth proportional to 65.98, 91.65 and 64.06 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.98 : 91.65 = 64.06 : x
  2. Step 2: Convert to fraction form
    65.98/91.65 = 64.06/x
  3. Step 3: Cross multiply
    65.98x = 91.65 × 64.06
  4. Step 4: Simplify right side
    65.98x = 5,870.75
  5. Step 5: Solve for x
    x = 5,870.75/65.98
  6. Step 6: Final answer
    x = 88.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.