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Finding the Fourth Proportional to 62.90, 93.78 and 57.20

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Solution

The fourth proportional to 62.90, 93.78 and 57.20 is: 85.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.90 : 93.78 = 57.20 : x
  2. Step 2: Convert to fraction form
    62.90/93.78 = 57.20/x
  3. Step 3: Cross multiply
    62.90x = 93.78 × 57.20
  4. Step 4: Simplify right side
    62.90x = 5,363.93
  5. Step 5: Solve for x
    x = 5,363.93/62.90
  6. Step 6: Final answer
    x = 85.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.