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Finding the Fourth Proportional to 62.48, 93.51 and 49.54

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Solution

The fourth proportional to 62.48, 93.51 and 49.54 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.48 : 93.51 = 49.54 : x
  2. Step 2: Convert to fraction form
    62.48/93.51 = 49.54/x
  3. Step 3: Cross multiply
    62.48x = 93.51 × 49.54
  4. Step 4: Simplify right side
    62.48x = 4,632.02
  5. Step 5: Solve for x
    x = 4,632.02/62.48
  6. Step 6: Final answer
    x = 74.13

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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.