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Finding the Fourth Proportional to 62.48, 93.64 and 28.19

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Solution

The fourth proportional to 62.48, 93.64 and 28.19 is: 42.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.48 : 93.64 = 28.19 : x
  2. Step 2: Convert to fraction form
    62.48/93.64 = 28.19/x
  3. Step 3: Cross multiply
    62.48x = 93.64 × 28.19
  4. Step 4: Simplify right side
    62.48x = 2,639.71
  5. Step 5: Solve for x
    x = 2,639.71/62.48
  6. Step 6: Final answer
    x = 42.25

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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.