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Finding the Fourth Proportional to 74.45, 102.98 and 65.83

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Solution

The fourth proportional to 74.45, 102.98 and 65.83 is: 91.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.45 : 102.98 = 65.83 : x
  2. Step 2: Convert to fraction form
    74.45/102.98 = 65.83/x
  3. Step 3: Cross multiply
    74.45x = 102.98 × 65.83
  4. Step 4: Simplify right side
    74.45x = 6,779.17
  5. Step 5: Solve for x
    x = 6,779.17/74.45
  6. Step 6: Final answer
    x = 91.06

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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.