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Finding the Fourth Proportional to 65.95, 98.98 and 29.37

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Solution

The fourth proportional to 65.95, 98.98 and 29.37 is: 44.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.95 : 98.98 = 29.37 : x
  2. Step 2: Convert to fraction form
    65.95/98.98 = 29.37/x
  3. Step 3: Cross multiply
    65.95x = 98.98 × 29.37
  4. Step 4: Simplify right side
    65.95x = 2,907.29
  5. Step 5: Solve for x
    x = 2,907.29/65.95
  6. Step 6: Final answer
    x = 44.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.