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Finding the Fourth Proportional to 55.32, 83.07 and 45.78

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Solution

The fourth proportional to 55.32, 83.07 and 45.78 is: 68.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 83.07 = 45.78 : x
  2. Step 2: Convert to fraction form
    55.32/83.07 = 45.78/x
  3. Step 3: Cross multiply
    55.32x = 83.07 × 45.78
  4. Step 4: Simplify right side
    55.32x = 3,802.94
  5. Step 5: Solve for x
    x = 3,802.94/55.32
  6. Step 6: Final answer
    x = 68.74

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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.