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Finding the Fourth Proportional to 65.31, 98.08 and 48.30

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Solution

The fourth proportional to 65.31, 98.08 and 48.30 is: 72.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 98.08 = 48.30 : x
  2. Step 2: Convert to fraction form
    65.31/98.08 = 48.30/x
  3. Step 3: Cross multiply
    65.31x = 98.08 × 48.30
  4. Step 4: Simplify right side
    65.31x = 4,737.14
  5. Step 5: Solve for x
    x = 4,737.14/65.31
  6. Step 6: Final answer
    x = 72.53

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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.