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Finding the Fourth Proportional to 50.17, 74.94 and 42.07

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Solution

The fourth proportional to 50.17, 74.94 and 42.07 is: 62.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.17 : 74.94 = 42.07 : x
  2. Step 2: Convert to fraction form
    50.17/74.94 = 42.07/x
  3. Step 3: Cross multiply
    50.17x = 74.94 × 42.07
  4. Step 4: Simplify right side
    50.17x = 3,152.46
  5. Step 5: Solve for x
    x = 3,152.46/50.17
  6. Step 6: Final answer
    x = 62.84

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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.