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Finding the Fourth Proportional to 74.16, 102.30 and 55.80

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Solution

The fourth proportional to 74.16, 102.30 and 55.80 is: 76.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102.30 = 55.80 : x
  2. Step 2: Convert to fraction form
    74.16/102.30 = 55.80/x
  3. Step 3: Cross multiply
    74.16x = 102.30 × 55.80
  4. Step 4: Simplify right side
    74.16x = 5,708.34
  5. Step 5: Solve for x
    x = 5,708.34/74.16
  6. Step 6: Final answer
    x = 76.97

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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.