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Finding the Fourth Proportional to 50, 75.30 and 40.08

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Solution

The fourth proportional to 50, 75.30 and 40.08 is: 60.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 75.30 = 40.08 : x
  2. Step 2: Convert to fraction form
    50/75.30 = 40.08/x
  3. Step 3: Cross multiply
    50x = 75.30 × 40.08
  4. Step 4: Simplify right side
    50x = 3,018.02
  5. Step 5: Solve for x
    x = 3,018.02/50
  6. Step 6: Final answer
    x = 60.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.