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Finding the Fourth Proportional to 45.60, 62.28 and 45.12

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Solution

The fourth proportional to 45.60, 62.28 and 45.12 is: 61.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.60 : 62.28 = 45.12 : x
  2. Step 2: Convert to fraction form
    45.60/62.28 = 45.12/x
  3. Step 3: Cross multiply
    45.60x = 62.28 × 45.12
  4. Step 4: Simplify right side
    45.60x = 2,810.07
  5. Step 5: Solve for x
    x = 2,810.07/45.60
  6. Step 6: Final answer
    x = 61.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.